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Finding the Fourth Proportional to 170,742.60, 256,113.90 and 82,169.10

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Solution

The fourth proportional to 170,742.60, 256,113.90 and 82,169.10 is: 123,253.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,742.60 : 256,113.90 = 82,169.10 : x
  2. Step 2: Convert to fraction form
    170,742.60/256,113.90 = 82,169.10/x
  3. Step 3: Cross multiply
    170,742.60x = 256,113.90 × 82,169.10
  4. Step 4: Simplify right side
    170,742.60x = 21,044,648,660.49
  5. Step 5: Solve for x
    x = 21,044,648,660.49/170,742.60
  6. Step 6: Final answer
    x = 123,253.65

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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.