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Finding the Fourth Proportional to 57,680.60, 86,537.10 and 28,099.40

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Solution

The fourth proportional to 57,680.60, 86,537.10 and 28,099.40 is: 42,156.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,680.60 : 86,537.10 = 28,099.40 : x
  2. Step 2: Convert to fraction form
    57,680.60/86,537.10 = 28,099.40/x
  3. Step 3: Cross multiply
    57,680.60x = 86,537.10 × 28,099.40
  4. Step 4: Simplify right side
    57,680.60x = 2,431,640,587.74
  5. Step 5: Solve for x
    x = 2,431,640,587.74/57,680.60
  6. Step 6: Final answer
    x = 42,156.99

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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.