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Finding the Fourth Proportional to 131,978.12, 182,129.84 and 71,548.74

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Solution

The fourth proportional to 131,978.12, 182,129.84 and 71,548.74 is: 98,737.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,978.12 : 182,129.84 = 71,548.74 : x
  2. Step 2: Convert to fraction form
    131,978.12/182,129.84 = 71,548.74/x
  3. Step 3: Cross multiply
    131,978.12x = 182,129.84 × 71,548.74
  4. Step 4: Simplify right side
    131,978.12x = 13,031,160,568.40
  5. Step 5: Solve for x
    x = 13,031,160,568.40/131,978.12
  6. Step 6: Final answer
    x = 98,737.28

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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.