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Finding the Fourth Proportional to 57,915.68, 86,874.36 and 22,855

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Solution

The fourth proportional to 57,915.68, 86,874.36 and 22,855 is: 34,282.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,915.68 : 86,874.36 = 22,855 : x
  2. Step 2: Convert to fraction form
    57,915.68/86,874.36 = 22,855/x
  3. Step 3: Cross multiply
    57,915.68x = 86,874.36 × 22,855
  4. Step 4: Simplify right side
    57,915.68x = 1,985,513,497.80
  5. Step 5: Solve for x
    x = 1,985,513,497.80/57,915.68
  6. Step 6: Final answer
    x = 34,282.83

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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.