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Finding the Fourth Proportional to 71,972.94, 107,959.24 and 19,382.47

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Solution

The fourth proportional to 71,972.94, 107,959.24 and 19,382.47 is: 29,073.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,972.94 : 107,959.24 = 19,382.47 : x
  2. Step 2: Convert to fraction form
    71,972.94/107,959.24 = 19,382.47/x
  3. Step 3: Cross multiply
    71,972.94x = 107,959.24 × 19,382.47
  4. Step 4: Simplify right side
    71,972.94x = 2,092,516,730.52
  5. Step 5: Solve for x
    x = 2,092,516,730.52/71,972.94
  6. Step 6: Final answer
    x = 29,073.66

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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.