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Finding the Fourth Proportional to 85,699.92, 128,471.16 and 29,526.66

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Solution

The fourth proportional to 85,699.92, 128,471.16 and 29,526.66 is: 44,262.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,699.92 : 128,471.16 = 29,526.66 : x
  2. Step 2: Convert to fraction form
    85,699.92/128,471.16 = 29,526.66/x
  3. Step 3: Cross multiply
    85,699.92x = 128,471.16 × 29,526.66
  4. Step 4: Simplify right side
    85,699.92x = 3,793,324,261.13
  5. Step 5: Solve for x
    x = 3,793,324,261.13/85,699.92
  6. Step 6: Final answer
    x = 44,262.87

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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.