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Finding the Fourth Proportional to 57,082, 78,773.16 and 31,931.52

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Solution

The fourth proportional to 57,082, 78,773.16 and 31,931.52 is: 44,065.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,082 : 78,773.16 = 31,931.52 : x
  2. Step 2: Convert to fraction form
    57,082/78,773.16 = 31,931.52/x
  3. Step 3: Cross multiply
    57,082x = 78,773.16 × 31,931.52
  4. Step 4: Simplify right side
    57,082x = 2,515,346,734.00
  5. Step 5: Solve for x
    x = 2,515,346,734.00/57,082
  6. Step 6: Final answer
    x = 44,065.50

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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.