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Finding the Fourth Proportional to 72,221.96, 108,316.92 and 52,509.80

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Solution

The fourth proportional to 72,221.96, 108,316.92 and 52,509.80 is: 78,753.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,221.96 : 108,316.92 = 52,509.80 : x
  2. Step 2: Convert to fraction form
    72,221.96/108,316.92 = 52,509.80/x
  3. Step 3: Cross multiply
    72,221.96x = 108,316.92 × 52,509.80
  4. Step 4: Simplify right side
    72,221.96x = 5,687,699,805.82
  5. Step 5: Solve for x
    x = 5,687,699,805.82/72,221.96
  6. Step 6: Final answer
    x = 78,753.05

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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.