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Finding the Fourth Proportional to 57,701.40, 86,414.40 and 28,023.90

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Solution

The fourth proportional to 57,701.40, 86,414.40 and 28,023.90 is: 41,968.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,701.40 : 86,414.40 = 28,023.90 : x
  2. Step 2: Convert to fraction form
    57,701.40/86,414.40 = 28,023.90/x
  3. Step 3: Cross multiply
    57,701.40x = 86,414.40 × 28,023.90
  4. Step 4: Simplify right side
    57,701.40x = 2,421,668,504.16
  5. Step 5: Solve for x
    x = 2,421,668,504.16/57,701.40
  6. Step 6: Final answer
    x = 41,968.97

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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.