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Finding the Fourth Proportional to 100,538.17, 150,807.16 and 25,658.31

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Solution

The fourth proportional to 100,538.17, 150,807.16 and 25,658.31 is: 38,487.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,538.17 : 150,807.16 = 25,658.31 : x
  2. Step 2: Convert to fraction form
    100,538.17/150,807.16 = 25,658.31/x
  3. Step 3: Cross multiply
    100,538.17x = 150,807.16 × 25,658.31
  4. Step 4: Simplify right side
    100,538.17x = 3,869,456,171.61
  5. Step 5: Solve for x
    x = 3,869,456,171.61/100,538.17
  6. Step 6: Final answer
    x = 38,487.44

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1.5x scale

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.