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Finding the Fourth Proportional to 139,968,129.60, 209,952,194.40 and 105,200,078.40

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Solution

The fourth proportional to 139,968,129.60, 209,952,194.40 and 105,200,078.40 is: 157,800,117.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,968,129.60 : 209,952,194.40 = 105,200,078.40 : x
  2. Step 2: Convert to fraction form
    139,968,129.60/209,952,194.40 = 105,200,078.40/x
  3. Step 3: Cross multiply
    139,968,129.60x = 209,952,194.40 × 105,200,078.40
  4. Step 4: Simplify right side
    139,968,129.60x = 22,086,987,311,132,044
  5. Step 5: Solve for x
    x = 22,086,987,311,132,044/139,968,129.60
  6. Step 6: Final answer
    x = 157,800,117.60

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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.