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Finding the Fourth Proportional to 123,376.36, 170,252.92 and 72,382

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Solution

The fourth proportional to 123,376.36, 170,252.92 and 72,382 is: 99,883.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,376.36 : 170,252.92 = 72,382 : x
  2. Step 2: Convert to fraction form
    123,376.36/170,252.92 = 72,382/x
  3. Step 3: Cross multiply
    123,376.36x = 170,252.92 × 72,382
  4. Step 4: Simplify right side
    123,376.36x = 12,323,246,855.44
  5. Step 5: Solve for x
    x = 12,323,246,855.44/123,376.36
  6. Step 6: Final answer
    x = 99,883.37

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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.