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Finding the Fourth Proportional to 137,129.90, 206,040.45 and 87,233.90

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Solution

The fourth proportional to 137,129.90, 206,040.45 and 87,233.90 is: 131,070.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,129.90 : 206,040.45 = 87,233.90 : x
  2. Step 2: Convert to fraction form
    137,129.90/206,040.45 = 87,233.90/x
  3. Step 3: Cross multiply
    137,129.90x = 206,040.45 × 87,233.90
  4. Step 4: Simplify right side
    137,129.90x = 17,973,712,011.26
  5. Step 5: Solve for x
    x = 17,973,712,011.26/137,129.90
  6. Step 6: Final answer
    x = 131,070.70

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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.