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Finding the Fourth Proportional to 187,129.94, 280,694.49 and 74,836.40

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Solution

The fourth proportional to 187,129.94, 280,694.49 and 74,836.40 is: 112,254.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,129.94 : 280,694.49 = 74,836.40 : x
  2. Step 2: Convert to fraction form
    187,129.94/280,694.49 = 74,836.40/x
  3. Step 3: Cross multiply
    187,129.94x = 280,694.49 × 74,836.40
  4. Step 4: Simplify right side
    187,129.94x = 21,006,163,727.96
  5. Step 5: Solve for x
    x = 21,006,163,727.96/187,129.94
  6. Step 6: Final answer
    x = 112,254.43

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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.