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Finding the Fourth Proportional to 170,826.60, 256,312.80 and 82,034.40

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Solution

The fourth proportional to 170,826.60, 256,312.80 and 82,034.40 is: 123,086.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,826.60 : 256,312.80 = 82,034.40 : x
  2. Step 2: Convert to fraction form
    170,826.60/256,312.80 = 82,034.40/x
  3. Step 3: Cross multiply
    170,826.60x = 256,312.80 × 82,034.40
  4. Step 4: Simplify right side
    170,826.60x = 21,026,466,760.32
  5. Step 5: Solve for x
    x = 21,026,466,760.32/170,826.60
  6. Step 6: Final answer
    x = 123,086.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.