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Finding the Fourth Proportional to 206,615.67, 310,043.17 and 86,661.95

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Solution

The fourth proportional to 206,615.67, 310,043.17 and 86,661.95 is: 130,043.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,615.67 : 310,043.17 = 86,661.95 : x
  2. Step 2: Convert to fraction form
    206,615.67/310,043.17 = 86,661.95/x
  3. Step 3: Cross multiply
    206,615.67x = 310,043.17 × 86,661.95
  4. Step 4: Simplify right side
    206,615.67x = 26,868,945,696.38
  5. Step 5: Solve for x
    x = 26,868,945,696.38/206,615.67
  6. Step 6: Final answer
    x = 130,043.12

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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.