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Finding the Fourth Proportional to 83,718.88, 115,531.92 and 45,993.16

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Solution

The fourth proportional to 83,718.88, 115,531.92 and 45,993.16 is: 63,470.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,718.88 : 115,531.92 = 45,993.16 : x
  2. Step 2: Convert to fraction form
    83,718.88/115,531.92 = 45,993.16/x
  3. Step 3: Cross multiply
    83,718.88x = 115,531.92 × 45,993.16
  4. Step 4: Simplify right side
    83,718.88x = 5,313,678,081.67
  5. Step 5: Solve for x
    x = 5,313,678,081.67/83,718.88
  6. Step 6: Final answer
    x = 63,470.49

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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.