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Finding the Fourth Proportional to 272,399.42, 408,599.13 and 85,425.50

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Solution

The fourth proportional to 272,399.42, 408,599.13 and 85,425.50 is: 128,138.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,399.42 : 408,599.13 = 85,425.50 : x
  2. Step 2: Convert to fraction form
    272,399.42/408,599.13 = 85,425.50/x
  3. Step 3: Cross multiply
    272,399.42x = 408,599.13 × 85,425.50
  4. Step 4: Simplify right side
    272,399.42x = 34,904,784,979.82
  5. Step 5: Solve for x
    x = 34,904,784,979.82/272,399.42
  6. Step 6: Final answer
    x = 128,138.25

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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.