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Finding the Fourth Proportional to 138,431.80, 207,647.70 and 135,807.40

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Solution

The fourth proportional to 138,431.80, 207,647.70 and 135,807.40 is: 203,711.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,431.80 : 207,647.70 = 135,807.40 : x
  2. Step 2: Convert to fraction form
    138,431.80/207,647.70 = 135,807.40/x
  3. Step 3: Cross multiply
    138,431.80x = 207,647.70 × 135,807.40
  4. Step 4: Simplify right side
    138,431.80x = 28,200,094,252.98
  5. Step 5: Solve for x
    x = 28,200,094,252.98/138,431.80
  6. Step 6: Final answer
    x = 203,711.10

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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.