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Finding the Fourth Proportional to 71,158.73, 106,737.96 and 66,828.47

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Solution

The fourth proportional to 71,158.73, 106,737.96 and 66,828.47 is: 100,242.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,158.73 : 106,737.96 = 66,828.47 : x
  2. Step 2: Convert to fraction form
    71,158.73/106,737.96 = 66,828.47/x
  3. Step 3: Cross multiply
    71,158.73x = 106,737.96 × 66,828.47
  4. Step 4: Simplify right side
    71,158.73x = 7,133,134,557.72
  5. Step 5: Solve for x
    x = 7,133,134,557.72/71,158.73
  6. Step 6: Final answer
    x = 100,242.58

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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.