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Finding the Fourth Proportional to 205,246.60, 307,839.12 and 64,987

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Solution

The fourth proportional to 205,246.60, 307,839.12 and 64,987 is: 97,470.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,246.60 : 307,839.12 = 64,987 : x
  2. Step 2: Convert to fraction form
    205,246.60/307,839.12 = 64,987/x
  3. Step 3: Cross multiply
    205,246.60x = 307,839.12 × 64,987
  4. Step 4: Simplify right side
    205,246.60x = 20,005,540,891.44
  5. Step 5: Solve for x
    x = 20,005,540,891.44/205,246.60
  6. Step 6: Final answer
    x = 97,470.75

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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.