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Finding the Fourth Proportional to 57,120, 78,825.87 and 31,974.36

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Solution

The fourth proportional to 57,120, 78,825.87 and 31,974.36 is: 44,124.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,120 : 78,825.87 = 31,974.36 : x
  2. Step 2: Convert to fraction form
    57,120/78,825.87 = 31,974.36/x
  3. Step 3: Cross multiply
    57,120x = 78,825.87 × 31,974.36
  4. Step 4: Simplify right side
    57,120x = 2,520,406,744.69
  5. Step 5: Solve for x
    x = 2,520,406,744.69/57,120
  6. Step 6: Final answer
    x = 44,124.77

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