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Finding the Fourth Proportional to 74,572.92, 102,909.30 and 40,580.25

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Solution

The fourth proportional to 74,572.92, 102,909.30 and 40,580.25 is: 56,000.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,572.92 : 102,909.30 = 40,580.25 : x
  2. Step 2: Convert to fraction form
    74,572.92/102,909.30 = 40,580.25/x
  3. Step 3: Cross multiply
    74,572.92x = 102,909.30 × 40,580.25
  4. Step 4: Simplify right side
    74,572.92x = 4,176,085,121.33
  5. Step 5: Solve for x
    x = 4,176,085,121.33/74,572.92
  6. Step 6: Final answer
    x = 56,000.02

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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.