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Finding the Fourth Proportional to 206,727.20, 310,090.80 and 127,930.40

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Solution

The fourth proportional to 206,727.20, 310,090.80 and 127,930.40 is: 191,895.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,727.20 : 310,090.80 = 127,930.40 : x
  2. Step 2: Convert to fraction form
    206,727.20/310,090.80 = 127,930.40/x
  3. Step 3: Cross multiply
    206,727.20x = 310,090.80 × 127,930.40
  4. Step 4: Simplify right side
    206,727.20x = 39,670,040,080.32
  5. Step 5: Solve for x
    x = 39,670,040,080.32/206,727.20
  6. Step 6: Final answer
    x = 191,895.60

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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.