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Finding the Fourth Proportional to 85,694.42, 128,462.91 and 29,521.17

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Solution

The fourth proportional to 85,694.42, 128,462.91 and 29,521.17 is: 44,254.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,694.42 : 128,462.91 = 29,521.17 : x
  2. Step 2: Convert to fraction form
    85,694.42/128,462.91 = 29,521.17/x
  3. Step 3: Cross multiply
    85,694.42x = 128,462.91 × 29,521.17
  4. Step 4: Simplify right side
    85,694.42x = 3,792,375,404.80
  5. Step 5: Solve for x
    x = 3,792,375,404.80/85,694.42
  6. Step 6: Final answer
    x = 44,254.64

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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.