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Finding the Fourth Proportional to 85,231.91, 127,884.76 and 45,742.88

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Solution

The fourth proportional to 85,231.91, 127,884.76 and 45,742.88 is: 68,634.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,231.91 : 127,884.76 = 45,742.88 : x
  2. Step 2: Convert to fraction form
    85,231.91/127,884.76 = 45,742.88/x
  3. Step 3: Cross multiply
    85,231.91x = 127,884.76 × 45,742.88
  4. Step 4: Simplify right side
    85,231.91x = 5,849,817,230.51
  5. Step 5: Solve for x
    x = 5,849,817,230.51/85,231.91
  6. Step 6: Final answer
    x = 68,634.12

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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.