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Finding the Fourth Proportional to 72,517.32, 100,078.02 and 40,689

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Solution

The fourth proportional to 72,517.32, 100,078.02 and 40,689 is: 56,153.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,517.32 : 100,078.02 = 40,689 : x
  2. Step 2: Convert to fraction form
    72,517.32/100,078.02 = 40,689/x
  3. Step 3: Cross multiply
    72,517.32x = 100,078.02 × 40,689
  4. Step 4: Simplify right side
    72,517.32x = 4,072,074,555.78
  5. Step 5: Solve for x
    x = 4,072,074,555.78/72,517.32
  6. Step 6: Final answer
    x = 56,153.13

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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.