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Finding the Fourth Proportional to 51,838, 71,545.08 and 39,240.88

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Solution

The fourth proportional to 51,838, 71,545.08 and 39,240.88 is: 54,158.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,838 : 71,545.08 = 39,240.88 : x
  2. Step 2: Convert to fraction form
    51,838/71,545.08 = 39,240.88/x
  3. Step 3: Cross multiply
    51,838x = 71,545.08 × 39,240.88
  4. Step 4: Simplify right side
    51,838x = 2,807,491,898.87
  5. Step 5: Solve for x
    x = 2,807,491,898.87/51,838
  6. Step 6: Final answer
    x = 54,158.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.