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Finding the Fourth Proportional to 83,876.94, 125,815.44 and 57,501.72

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Solution

The fourth proportional to 83,876.94, 125,815.44 and 57,501.72 is: 86,252.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,876.94 : 125,815.44 = 57,501.72 : x
  2. Step 2: Convert to fraction form
    83,876.94/125,815.44 = 57,501.72/x
  3. Step 3: Cross multiply
    83,876.94x = 125,815.44 × 57,501.72
  4. Step 4: Simplify right side
    83,876.94x = 7,234,604,202.56
  5. Step 5: Solve for x
    x = 7,234,604,202.56/83,876.94
  6. Step 6: Final answer
    x = 86,252.60

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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.