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Finding the Fourth Proportional to 83,318.87, 114,979.56 and 45,078.32

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Solution

The fourth proportional to 83,318.87, 114,979.56 and 45,078.32 is: 62,207.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,318.87 : 114,979.56 = 45,078.32 : x
  2. Step 2: Convert to fraction form
    83,318.87/114,979.56 = 45,078.32/x
  3. Step 3: Cross multiply
    83,318.87x = 114,979.56 × 45,078.32
  4. Step 4: Simplify right side
    83,318.87x = 5,183,085,399.14
  5. Step 5: Solve for x
    x = 5,183,085,399.14/83,318.87
  6. Step 6: Final answer
    x = 62,207.82

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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.