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Finding the Fourth Proportional to 85,471.98, 128,193.14 and 23,127.90

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Solution

The fourth proportional to 85,471.98, 128,193.14 and 23,127.90 is: 34,687.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,471.98 : 128,193.14 = 23,127.90 : x
  2. Step 2: Convert to fraction form
    85,471.98/128,193.14 = 23,127.90/x
  3. Step 3: Cross multiply
    85,471.98x = 128,193.14 × 23,127.90
  4. Step 4: Simplify right side
    85,471.98x = 2,964,838,122.61
  5. Step 5: Solve for x
    x = 2,964,838,122.61/85,471.98
  6. Step 6: Final answer
    x = 34,687.84

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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.