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Finding the Fourth Proportional to 57,341.70, 85,842.45 and 42,615.90

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Solution

The fourth proportional to 57,341.70, 85,842.45 and 42,615.90 is: 63,797.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,341.70 : 85,842.45 = 42,615.90 : x
  2. Step 2: Convert to fraction form
    57,341.70/85,842.45 = 42,615.90/x
  3. Step 3: Cross multiply
    57,341.70x = 85,842.45 × 42,615.90
  4. Step 4: Simplify right side
    57,341.70x = 3,658,253,264.96
  5. Step 5: Solve for x
    x = 3,658,253,264.96/57,341.70
  6. Step 6: Final answer
    x = 63,797.43

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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.