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Finding the Fourth Proportional to 139,968,145.60, 209,952,218.40 and 105,200,094.40

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Solution

The fourth proportional to 139,968,145.60, 209,952,218.40 and 105,200,094.40 is: 157,800,141.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,968,145.60 : 209,952,218.40 = 105,200,094.40 : x
  2. Step 2: Convert to fraction form
    139,968,145.60/209,952,218.40 = 105,200,094.40/x
  3. Step 3: Cross multiply
    139,968,145.60x = 209,952,218.40 × 105,200,094.40
  4. Step 4: Simplify right side
    139,968,145.60x = 22,086,993,195,169,420
  5. Step 5: Solve for x
    x = 22,086,993,195,169,420/139,968,145.60
  6. Step 6: Final answer
    x = 157,800,141.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.