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Finding the Fourth Proportional to 206,852.60, 309,987.30 and 127,731.80

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Solution

The fourth proportional to 206,852.60, 309,987.30 and 127,731.80 is: 191,417.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,852.60 : 309,987.30 = 127,731.80 : x
  2. Step 2: Convert to fraction form
    206,852.60/309,987.30 = 127,731.80/x
  3. Step 3: Cross multiply
    206,852.60x = 309,987.30 × 127,731.80
  4. Step 4: Simplify right side
    206,852.60x = 39,595,235,806.14
  5. Step 5: Solve for x
    x = 39,595,235,806.14/206,852.60
  6. Step 6: Final answer
    x = 191,417.64

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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.