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Finding the Fourth Proportional to 113,963.92, 170,769.30 and 85,853.68

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Solution

The fourth proportional to 113,963.92, 170,769.30 and 85,853.68 is: 128,647.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,963.92 : 170,769.30 = 85,853.68 : x
  2. Step 2: Convert to fraction form
    113,963.92/170,769.30 = 85,853.68/x
  3. Step 3: Cross multiply
    113,963.92x = 170,769.30 × 85,853.68
  4. Step 4: Simplify right side
    113,963.92x = 14,661,172,836.02
  5. Step 5: Solve for x
    x = 14,661,172,836.02/113,963.92
  6. Step 6: Final answer
    x = 128,647.50

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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.