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Finding the Fourth Proportional to 243,744.28, 365,615.70 and 85,934.68

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Solution

The fourth proportional to 243,744.28, 365,615.70 and 85,934.68 is: 128,901.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,744.28 : 365,615.70 = 85,934.68 : x
  2. Step 2: Convert to fraction form
    243,744.28/365,615.70 = 85,934.68/x
  3. Step 3: Cross multiply
    243,744.28x = 365,615.70 × 85,934.68
  4. Step 4: Simplify right side
    243,744.28x = 31,419,068,182.48
  5. Step 5: Solve for x
    x = 31,419,068,182.48/243,744.28
  6. Step 6: Final answer
    x = 128,901.77

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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.