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Finding the Fourth Proportional to 72,302.42, 108,370.47 and 27,909.74

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Solution

The fourth proportional to 72,302.42, 108,370.47 and 27,909.74 is: 41,832.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,302.42 : 108,370.47 = 27,909.74 : x
  2. Step 2: Convert to fraction form
    72,302.42/108,370.47 = 27,909.74/x
  3. Step 3: Cross multiply
    72,302.42x = 108,370.47 × 27,909.74
  4. Step 4: Simplify right side
    72,302.42x = 3,024,591,641.38
  5. Step 5: Solve for x
    x = 3,024,591,641.38/72,302.42
  6. Step 6: Final answer
    x = 41,832.51

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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.