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Finding the Fourth Proportional to 185,712.80, 256,299.52 and 105,154.52

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Solution

The fourth proportional to 185,712.80, 256,299.52 and 105,154.52 is: 145,122.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,712.80 : 256,299.52 = 105,154.52 : x
  2. Step 2: Convert to fraction form
    185,712.80/256,299.52 = 105,154.52/x
  3. Step 3: Cross multiply
    185,712.80x = 256,299.52 × 105,154.52
  4. Step 4: Simplify right side
    185,712.80x = 26,951,053,001.83
  5. Step 5: Solve for x
    x = 26,951,053,001.83/185,712.80
  6. Step 6: Final answer
    x = 145,122.22

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1.5x scale

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.