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Finding the Fourth Proportional to 85,114.60, 127,431.87 and 45,042.82

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Solution

The fourth proportional to 85,114.60, 127,431.87 and 45,042.82 is: 67,437.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,114.60 : 127,431.87 = 45,042.82 : x
  2. Step 2: Convert to fraction form
    85,114.60/127,431.87 = 45,042.82/x
  3. Step 3: Cross multiply
    85,114.60x = 127,431.87 × 45,042.82
  4. Step 4: Simplify right side
    85,114.60x = 5,739,890,295.18
  5. Step 5: Solve for x
    x = 5,739,890,295.18/85,114.60
  6. Step 6: Final answer
    x = 67,437.20

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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.