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Finding the Fourth Proportional to 57,139.75, 78,852.87 and 31,989.79

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Solution

The fourth proportional to 57,139.75, 78,852.87 and 31,989.79 is: 44,145.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,139.75 : 78,852.87 = 31,989.79 : x
  2. Step 2: Convert to fraction form
    57,139.75/78,852.87 = 31,989.79/x
  3. Step 3: Cross multiply
    57,139.75x = 78,852.87 × 31,989.79
  4. Step 4: Simplify right side
    57,139.75x = 2,522,486,752.20
  5. Step 5: Solve for x
    x = 2,522,486,752.20/57,139.75
  6. Step 6: Final answer
    x = 44,145.92

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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.