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Finding the Fourth Proportional to 131,361, 181,278.20 and 71,745

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Solution

The fourth proportional to 131,361, 181,278.20 and 71,745 is: 99,008.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,361 : 181,278.20 = 71,745 : x
  2. Step 2: Convert to fraction form
    131,361/181,278.20 = 71,745/x
  3. Step 3: Cross multiply
    131,361x = 181,278.20 × 71,745
  4. Step 4: Simplify right side
    131,361x = 13,005,804,459
  5. Step 5: Solve for x
    x = 13,005,804,459/131,361
  6. Step 6: Final answer
    x = 99,008.11

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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.