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Finding the Fourth Proportional to 103,614.32, 142,974.99 and 65,359.43

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Solution

The fourth proportional to 103,614.32, 142,974.99 and 65,359.43 is: 90,187.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,614.32 : 142,974.99 = 65,359.43 : x
  2. Step 2: Convert to fraction form
    103,614.32/142,974.99 = 65,359.43/x
  3. Step 3: Cross multiply
    103,614.32x = 142,974.99 × 65,359.43
  4. Step 4: Simplify right side
    103,614.32x = 9,344,763,523.86
  5. Step 5: Solve for x
    x = 9,344,763,523.86/103,614.32
  6. Step 6: Final answer
    x = 90,187.95

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.