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Finding the Fourth Proportional to 71,484.71, 107,227.82 and 21,565.23

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Solution

The fourth proportional to 71,484.71, 107,227.82 and 21,565.23 is: 32,348.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,484.71 : 107,227.82 = 21,565.23 : x
  2. Step 2: Convert to fraction form
    71,484.71/107,227.82 = 21,565.23/x
  3. Step 3: Cross multiply
    71,484.71x = 107,227.82 × 21,565.23
  4. Step 4: Simplify right side
    71,484.71x = 2,312,392,492.87
  5. Step 5: Solve for x
    x = 2,312,392,492.87/71,484.71
  6. Step 6: Final answer
    x = 32,348.07

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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.