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Finding the Fourth Proportional to 131,157, 180,996.66 and 71,541

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Solution

The fourth proportional to 131,157, 180,996.66 and 71,541 is: 98,726.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,157 : 180,996.66 = 71,541 : x
  2. Step 2: Convert to fraction form
    131,157/180,996.66 = 71,541/x
  3. Step 3: Cross multiply
    131,157x = 180,996.66 × 71,541
  4. Step 4: Simplify right side
    131,157x = 12,948,682,053.06
  5. Step 5: Solve for x
    x = 12,948,682,053.06/131,157
  6. Step 6: Final answer
    x = 98,726.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.