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Finding the Fourth Proportional to 206,656.04, 310,016.46 and 88,328

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Solution

The fourth proportional to 206,656.04, 310,016.46 and 88,328 is: 132,505.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,656.04 : 310,016.46 = 88,328 : x
  2. Step 2: Convert to fraction form
    206,656.04/310,016.46 = 88,328/x
  3. Step 3: Cross multiply
    206,656.04x = 310,016.46 × 88,328
  4. Step 4: Simplify right side
    206,656.04x = 27,383,133,878.88
  5. Step 5: Solve for x
    x = 27,383,133,878.88/206,656.04
  6. Step 6: Final answer
    x = 132,505.85

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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.