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Finding the Fourth Proportional to 72,497.30, 108,691.23 and 47,543.63

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Solution

The fourth proportional to 72,497.30, 108,691.23 and 47,543.63 is: 71,279.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,497.30 : 108,691.23 = 47,543.63 : x
  2. Step 2: Convert to fraction form
    72,497.30/108,691.23 = 47,543.63/x
  3. Step 3: Cross multiply
    72,497.30x = 108,691.23 × 47,543.63
  4. Step 4: Simplify right side
    72,497.30x = 5,167,574,842.19
  5. Step 5: Solve for x
    x = 5,167,574,842.19/72,497.30
  6. Step 6: Final answer
    x = 71,279.55

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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.