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Finding the Fourth Proportional to 71,521.73, 107,284.65 and 18,931.22

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Solution

The fourth proportional to 71,521.73, 107,284.65 and 18,931.22 is: 28,397.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,521.73 : 107,284.65 = 18,931.22 : x
  2. Step 2: Convert to fraction form
    71,521.73/107,284.65 = 18,931.22/x
  3. Step 3: Cross multiply
    71,521.73x = 107,284.65 × 18,931.22
  4. Step 4: Simplify right side
    71,521.73x = 2,031,029,213.16
  5. Step 5: Solve for x
    x = 2,031,029,213.16/71,521.73
  6. Step 6: Final answer
    x = 28,397.37

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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.