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Finding the Fourth Proportional to 83,718.50, 115,531.58 and 45,995.18

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Solution

The fourth proportional to 83,718.50, 115,531.58 and 45,995.18 is: 63,473.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,718.50 : 115,531.58 = 45,995.18 : x
  2. Step 2: Convert to fraction form
    83,718.50/115,531.58 = 45,995.18/x
  3. Step 3: Cross multiply
    83,718.50x = 115,531.58 × 45,995.18
  4. Step 4: Simplify right side
    83,718.50x = 5,313,895,817.78
  5. Step 5: Solve for x
    x = 5,313,895,817.78/83,718.50
  6. Step 6: Final answer
    x = 63,473.38

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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.