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Finding the Fourth Proportional to 206,698.54, 310,080.30 and 88,370.50

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Solution

The fourth proportional to 206,698.54, 310,080.30 and 88,370.50 is: 132,569.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,698.54 : 310,080.30 = 88,370.50 : x
  2. Step 2: Convert to fraction form
    206,698.54/310,080.30 = 88,370.50/x
  3. Step 3: Cross multiply
    206,698.54x = 310,080.30 × 88,370.50
  4. Step 4: Simplify right side
    206,698.54x = 27,401,951,151.15
  5. Step 5: Solve for x
    x = 27,401,951,151.15/206,698.54
  6. Step 6: Final answer
    x = 132,569.64

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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.