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Finding the Fourth Proportional to 138,989.85, 208,715.36 and 86,731.49

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Solution

The fourth proportional to 138,989.85, 208,715.36 and 86,731.49 is: 130,241.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,989.85 : 208,715.36 = 86,731.49 : x
  2. Step 2: Convert to fraction form
    138,989.85/208,715.36 = 86,731.49/x
  3. Step 3: Cross multiply
    138,989.85x = 208,715.36 × 86,731.49
  4. Step 4: Simplify right side
    138,989.85x = 18,102,193,115.11
  5. Step 5: Solve for x
    x = 18,102,193,115.11/138,989.85
  6. Step 6: Final answer
    x = 130,241.12

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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.