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Finding the Fourth Proportional to 71,565.16, 107,348.70 and 21,645.76

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Solution

The fourth proportional to 71,565.16, 107,348.70 and 21,645.76 is: 32,468.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,565.16 : 107,348.70 = 21,645.76 : x
  2. Step 2: Convert to fraction form
    71,565.16/107,348.70 = 21,645.76/x
  3. Step 3: Cross multiply
    71,565.16x = 107,348.70 × 21,645.76
  4. Step 4: Simplify right side
    71,565.16x = 2,323,644,196.51
  5. Step 5: Solve for x
    x = 2,323,644,196.51/71,565.16
  6. Step 6: Final answer
    x = 32,468.93

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1.5x scale

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.