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Finding the Fourth Proportional to 71,061.93, 106,583.17 and 21,149.73

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Solution

The fourth proportional to 71,061.93, 106,583.17 and 21,149.73 is: 31,721.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,061.93 : 106,583.17 = 21,149.73 : x
  2. Step 2: Convert to fraction form
    71,061.93/106,583.17 = 21,149.73/x
  3. Step 3: Cross multiply
    71,061.93x = 106,583.17 × 21,149.73
  4. Step 4: Simplify right side
    71,061.93x = 2,254,205,268.04
  5. Step 5: Solve for x
    x = 2,254,205,268.04/71,061.93
  6. Step 6: Final answer
    x = 31,721.70

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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.