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Finding the Fourth Proportional to 206,876.60, 310,401.30 and 66,678.20

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Solution

The fourth proportional to 206,876.60, 310,401.30 and 66,678.20 is: 100,045.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,876.60 : 310,401.30 = 66,678.20 : x
  2. Step 2: Convert to fraction form
    206,876.60/310,401.30 = 66,678.20/x
  3. Step 3: Cross multiply
    206,876.60x = 310,401.30 × 66,678.20
  4. Step 4: Simplify right side
    206,876.60x = 20,696,999,961.66
  5. Step 5: Solve for x
    x = 20,696,999,961.66/206,876.60
  6. Step 6: Final answer
    x = 100,045.15

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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.