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Finding the Fourth Proportional to 206,871.60, 310,015.80 and 127,750.80

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Solution

The fourth proportional to 206,871.60, 310,015.80 and 127,750.80 is: 191,446.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,871.60 : 310,015.80 = 127,750.80 : x
  2. Step 2: Convert to fraction form
    206,871.60/310,015.80 = 127,750.80/x
  3. Step 3: Cross multiply
    206,871.60x = 310,015.80 × 127,750.80
  4. Step 4: Simplify right side
    206,871.60x = 39,604,766,462.64
  5. Step 5: Solve for x
    x = 39,604,766,462.64/206,871.60
  6. Step 6: Final answer
    x = 191,446.13

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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.