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Finding the Fourth Proportional to 185,694, 256,468.76 and 125,160.28

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Solution

The fourth proportional to 185,694, 256,468.76 and 125,160.28 is: 172,863.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,694 : 256,468.76 = 125,160.28 : x
  2. Step 2: Convert to fraction form
    185,694/256,468.76 = 125,160.28/x
  3. Step 3: Cross multiply
    185,694x = 256,468.76 × 125,160.28
  4. Step 4: Simplify right side
    185,694x = 32,099,701,812.85
  5. Step 5: Solve for x
    x = 32,099,701,812.85/185,694
  6. Step 6: Final answer
    x = 172,863.43

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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.