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Finding the Fourth Proportional to 57,382.70, 79,165.95 and 42,311.03

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Solution

The fourth proportional to 57,382.70, 79,165.95 and 42,311.03 is: 58,372.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,382.70 : 79,165.95 = 42,311.03 : x
  2. Step 2: Convert to fraction form
    57,382.70/79,165.95 = 42,311.03/x
  3. Step 3: Cross multiply
    57,382.70x = 79,165.95 × 42,311.03
  4. Step 4: Simplify right side
    57,382.70x = 3,349,592,885.43
  5. Step 5: Solve for x
    x = 3,349,592,885.43/57,382.70
  6. Step 6: Final answer
    x = 58,372.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.