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Finding the Fourth Proportional to 127,689.95, 176,152.88 and 82,382.49

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Solution

The fourth proportional to 127,689.95, 176,152.88 and 82,382.49 is: 113,649.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,689.95 : 176,152.88 = 82,382.49 : x
  2. Step 2: Convert to fraction form
    127,689.95/176,152.88 = 82,382.49/x
  3. Step 3: Cross multiply
    127,689.95x = 176,152.88 × 82,382.49
  4. Step 4: Simplify right side
    127,689.95x = 14,511,913,081.03
  5. Step 5: Solve for x
    x = 14,511,913,081.03/127,689.95
  6. Step 6: Final answer
    x = 113,649.61

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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.