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Finding the Fourth Proportional to 71,143.57, 106,715.34 and 18,552.91

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Solution

The fourth proportional to 71,143.57, 106,715.34 and 18,552.91 is: 27,829.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,143.57 : 106,715.34 = 18,552.91 : x
  2. Step 2: Convert to fraction form
    71,143.57/106,715.34 = 18,552.91/x
  3. Step 3: Cross multiply
    71,143.57x = 106,715.34 × 18,552.91
  4. Step 4: Simplify right side
    71,143.57x = 1,979,880,098.64
  5. Step 5: Solve for x
    x = 1,979,880,098.64/71,143.57
  6. Step 6: Final answer
    x = 27,829.36

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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.