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Finding the Fourth Proportional to 206,613.67, 310,040.17 and 86,659.95

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Solution

The fourth proportional to 206,613.67, 310,040.17 and 86,659.95 is: 130,040.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,613.67 : 310,040.17 = 86,659.95 : x
  2. Step 2: Convert to fraction form
    206,613.67/310,040.17 = 86,659.95/x
  3. Step 3: Cross multiply
    206,613.67x = 310,040.17 × 86,659.95
  4. Step 4: Simplify right side
    206,613.67x = 26,868,065,826.07
  5. Step 5: Solve for x
    x = 26,868,065,826.07/206,613.67
  6. Step 6: Final answer
    x = 130,040.11

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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.