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Finding the Fourth Proportional to 140,238.88, 193,382.28 and 92,431

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Solution

The fourth proportional to 140,238.88, 193,382.28 and 92,431 is: 127,457.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,238.88 : 193,382.28 = 92,431 : x
  2. Step 2: Convert to fraction form
    140,238.88/193,382.28 = 92,431/x
  3. Step 3: Cross multiply
    140,238.88x = 193,382.28 × 92,431
  4. Step 4: Simplify right side
    140,238.88x = 17,874,517,522.68
  5. Step 5: Solve for x
    x = 17,874,517,522.68/140,238.88
  6. Step 6: Final answer
    x = 127,457.65

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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.