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Finding the Fourth Proportional to 72,694.64, 100,318.05 and 40,429.55

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Solution

The fourth proportional to 72,694.64, 100,318.05 and 40,429.55 is: 55,792.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,694.64 : 100,318.05 = 40,429.55 : x
  2. Step 2: Convert to fraction form
    72,694.64/100,318.05 = 40,429.55/x
  3. Step 3: Cross multiply
    72,694.64x = 100,318.05 × 40,429.55
  4. Step 4: Simplify right side
    72,694.64x = 4,055,813,869.17
  5. Step 5: Solve for x
    x = 4,055,813,869.17/72,694.64
  6. Step 6: Final answer
    x = 55,792.47

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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.