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Finding the Fourth Proportional to 71,900.54, 107,864.92 and 21,987.72

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Solution

The fourth proportional to 71,900.54, 107,864.92 and 21,987.72 is: 32,985.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,900.54 : 107,864.92 = 21,987.72 : x
  2. Step 2: Convert to fraction form
    71,900.54/107,864.92 = 21,987.72/x
  3. Step 3: Cross multiply
    71,900.54x = 107,864.92 × 21,987.72
  4. Step 4: Simplify right side
    71,900.54x = 2,371,703,658.78
  5. Step 5: Solve for x
    x = 2,371,703,658.78/71,900.54
  6. Step 6: Final answer
    x = 32,985.89

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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.