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Finding the Fourth Proportional to 86,761.60, 130,142.40 and 27,601.90

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Solution

The fourth proportional to 86,761.60, 130,142.40 and 27,601.90 is: 41,402.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,761.60 : 130,142.40 = 27,601.90 : x
  2. Step 2: Convert to fraction form
    86,761.60/130,142.40 = 27,601.90/x
  3. Step 3: Cross multiply
    86,761.60x = 130,142.40 × 27,601.90
  4. Step 4: Simplify right side
    86,761.60x = 3,592,177,510.56
  5. Step 5: Solve for x
    x = 3,592,177,510.56/86,761.60
  6. Step 6: Final answer
    x = 41,402.85

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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.