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Finding the Fourth Proportional to 71,148.57, 106,722.84 and 18,557.91

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Solution

The fourth proportional to 71,148.57, 106,722.84 and 18,557.91 is: 27,836.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,148.57 : 106,722.84 = 18,557.91 : x
  2. Step 2: Convert to fraction form
    71,148.57/106,722.84 = 18,557.91/x
  3. Step 3: Cross multiply
    71,148.57x = 106,722.84 × 18,557.91
  4. Step 4: Simplify right side
    71,148.57x = 1,980,552,859.66
  5. Step 5: Solve for x
    x = 1,980,552,859.66/71,148.57
  6. Step 6: Final answer
    x = 27,836.86

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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.