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Finding the Fourth Proportional to 206,974.20, 310,461.30 and 136,115.40

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Solution

The fourth proportional to 206,974.20, 310,461.30 and 136,115.40 is: 204,173.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,974.20 : 310,461.30 = 136,115.40 : x
  2. Step 2: Convert to fraction form
    206,974.20/310,461.30 = 136,115.40/x
  3. Step 3: Cross multiply
    206,974.20x = 310,461.30 × 136,115.40
  4. Step 4: Simplify right side
    206,974.20x = 42,258,564,034.02
  5. Step 5: Solve for x
    x = 42,258,564,034.02/206,974.20
  6. Step 6: Final answer
    x = 204,173.10

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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.