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Finding the Fourth Proportional to 206,687.80, 310,031.70 and 139,765.60

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Solution

The fourth proportional to 206,687.80, 310,031.70 and 139,765.60 is: 209,648.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,687.80 : 310,031.70 = 139,765.60 : x
  2. Step 2: Convert to fraction form
    206,687.80/310,031.70 = 139,765.60/x
  3. Step 3: Cross multiply
    206,687.80x = 310,031.70 × 139,765.60
  4. Step 4: Simplify right side
    206,687.80x = 43,331,766,569.52
  5. Step 5: Solve for x
    x = 43,331,766,569.52/206,687.80
  6. Step 6: Final answer
    x = 209,648.40

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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.