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Finding the Fourth Proportional to 72,337.20, 108,505.80 and 47,535

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Solution

The fourth proportional to 72,337.20, 108,505.80 and 47,535 is: 71,302.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,337.20 : 108,505.80 = 47,535 : x
  2. Step 2: Convert to fraction form
    72,337.20/108,505.80 = 47,535/x
  3. Step 3: Cross multiply
    72,337.20x = 108,505.80 × 47,535
  4. Step 4: Simplify right side
    72,337.20x = 5,157,823,203
  5. Step 5: Solve for x
    x = 5,157,823,203/72,337.20
  6. Step 6: Final answer
    x = 71,302.50

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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.