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Finding the Fourth Proportional to 137,468.43, 205,934.20 and 65,318.65

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Solution

The fourth proportional to 137,468.43, 205,934.20 and 65,318.65 is: 97,850.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,468.43 : 205,934.20 = 65,318.65 : x
  2. Step 2: Convert to fraction form
    137,468.43/205,934.20 = 65,318.65/x
  3. Step 3: Cross multiply
    137,468.43x = 205,934.20 × 65,318.65
  4. Step 4: Simplify right side
    137,468.43x = 13,451,343,254.70
  5. Step 5: Solve for x
    x = 13,451,343,254.70/137,468.43
  6. Step 6: Final answer
    x = 97,850.42

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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.