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Finding the Fourth Proportional to 170,932.40, 256,398.60 and 82,358.90

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Solution

The fourth proportional to 170,932.40, 256,398.60 and 82,358.90 is: 123,538.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,932.40 : 256,398.60 = 82,358.90 : x
  2. Step 2: Convert to fraction form
    170,932.40/256,398.60 = 82,358.90/x
  3. Step 3: Cross multiply
    170,932.40x = 256,398.60 × 82,358.90
  4. Step 4: Simplify right side
    170,932.40x = 21,116,706,657.54
  5. Step 5: Solve for x
    x = 21,116,706,657.54/170,932.40
  6. Step 6: Final answer
    x = 123,538.35

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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.