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Finding the Fourth Proportional to 57,343.70, 85,845.45 and 42,617.90

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Solution

The fourth proportional to 57,343.70, 85,845.45 and 42,617.90 is: 63,800.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,343.70 : 85,845.45 = 42,617.90 : x
  2. Step 2: Convert to fraction form
    57,343.70/85,845.45 = 42,617.90/x
  3. Step 3: Cross multiply
    57,343.70x = 85,845.45 × 42,617.90
  4. Step 4: Simplify right side
    57,343.70x = 3,658,552,803.56
  5. Step 5: Solve for x
    x = 3,658,552,803.56/57,343.70
  6. Step 6: Final answer
    x = 63,800.43

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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.