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Finding the Fourth Proportional to 57,741.60, 86,612.40 and 38,042.40

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Solution

The fourth proportional to 57,741.60, 86,612.40 and 38,042.40 is: 57,063.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,741.60 : 86,612.40 = 38,042.40 : x
  2. Step 2: Convert to fraction form
    57,741.60/86,612.40 = 38,042.40/x
  3. Step 3: Cross multiply
    57,741.60x = 86,612.40 × 38,042.40
  4. Step 4: Simplify right side
    57,741.60x = 3,294,943,565.76
  5. Step 5: Solve for x
    x = 3,294,943,565.76/57,741.60
  6. Step 6: Final answer
    x = 57,063.60

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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.