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Finding the Fourth Proportional to 72,575.76, 108,864.18 and 19,988.13

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Solution

The fourth proportional to 72,575.76, 108,864.18 and 19,988.13 is: 29,982.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,575.76 : 108,864.18 = 19,988.13 : x
  2. Step 2: Convert to fraction form
    72,575.76/108,864.18 = 19,988.13/x
  3. Step 3: Cross multiply
    72,575.76x = 108,864.18 × 19,988.13
  4. Step 4: Simplify right side
    72,575.76x = 2,175,991,382.18
  5. Step 5: Solve for x
    x = 2,175,991,382.18/72,575.76
  6. Step 6: Final answer
    x = 29,982.34

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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.