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Finding the Fourth Proportional to 83,895.85, 115,774.62 and 45,654.79

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Solution

The fourth proportional to 83,895.85, 115,774.62 and 45,654.79 is: 63,002.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,895.85 : 115,774.62 = 45,654.79 : x
  2. Step 2: Convert to fraction form
    83,895.85/115,774.62 = 45,654.79/x
  3. Step 3: Cross multiply
    83,895.85x = 115,774.62 × 45,654.79
  4. Step 4: Simplify right side
    83,895.85x = 5,285,665,719.87
  5. Step 5: Solve for x
    x = 5,285,665,719.87/83,895.85
  6. Step 6: Final answer
    x = 63,002.71

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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.