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Finding the Fourth Proportional to 138,000.85, 206,888.14 and 71,459.94

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Solution

The fourth proportional to 138,000.85, 206,888.14 and 71,459.94 is: 107,131.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,000.85 : 206,888.14 = 71,459.94 : x
  2. Step 2: Convert to fraction form
    138,000.85/206,888.14 = 71,459.94/x
  3. Step 3: Cross multiply
    138,000.85x = 206,888.14 × 71,459.94
  4. Step 4: Simplify right side
    138,000.85x = 14,784,214,071.11
  5. Step 5: Solve for x
    x = 14,784,214,071.11/138,000.85
  6. Step 6: Final answer
    x = 107,131.33

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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.