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Finding the Fourth Proportional to 137,904.18, 206,751.03 and 71,301.79

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Solution

The fourth proportional to 137,904.18, 206,751.03 and 71,301.79 is: 106,898.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,904.18 : 206,751.03 = 71,301.79 : x
  2. Step 2: Convert to fraction form
    137,904.18/206,751.03 = 71,301.79/x
  3. Step 3: Cross multiply
    137,904.18x = 206,751.03 × 71,301.79
  4. Step 4: Simplify right side
    137,904.18x = 14,741,718,523.34
  5. Step 5: Solve for x
    x = 14,741,718,523.34/137,904.18
  6. Step 6: Final answer
    x = 106,898.27

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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.