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Finding the Fourth Proportional to 139,743.20, 209,614.80 and 112,095.20

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Solution

The fourth proportional to 139,743.20, 209,614.80 and 112,095.20 is: 168,142.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,743.20 : 209,614.80 = 112,095.20 : x
  2. Step 2: Convert to fraction form
    139,743.20/209,614.80 = 112,095.20/x
  3. Step 3: Cross multiply
    139,743.20x = 209,614.80 × 112,095.20
  4. Step 4: Simplify right side
    139,743.20x = 23,496,812,928.96
  5. Step 5: Solve for x
    x = 23,496,812,928.96/139,743.20
  6. Step 6: Final answer
    x = 168,142.80

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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.