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Finding the Fourth Proportional to 71,485.27, 107,228.68 and 21,565.80

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Solution

The fourth proportional to 71,485.27, 107,228.68 and 21,565.80 is: 32,348.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,485.27 : 107,228.68 = 21,565.80 : x
  2. Step 2: Convert to fraction form
    71,485.27/107,228.68 = 21,565.80/x
  3. Step 3: Cross multiply
    71,485.27x = 107,228.68 × 21,565.80
  4. Step 4: Simplify right side
    71,485.27x = 2,312,472,213.23
  5. Step 5: Solve for x
    x = 2,312,472,213.23/71,485.27
  6. Step 6: Final answer
    x = 32,348.93

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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.