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Finding the Fourth Proportional to 257,524.92, 386,395.92 and 99,864.36

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Solution

The fourth proportional to 257,524.92, 386,395.92 and 99,864.36 is: 149,838.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,524.92 : 386,395.92 = 99,864.36 : x
  2. Step 2: Convert to fraction form
    257,524.92/386,395.92 = 99,864.36/x
  3. Step 3: Cross multiply
    257,524.92x = 386,395.92 × 99,864.36
  4. Step 4: Simplify right side
    257,524.92x = 38,587,181,257.41
  5. Step 5: Solve for x
    x = 38,587,181,257.41/257,524.92
  6. Step 6: Final answer
    x = 149,838.63

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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.