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Finding the Fourth Proportional to 209,791.62, 314,818.65 and 85,132.62

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Solution

The fourth proportional to 209,791.62, 314,818.65 and 85,132.62 is: 127,752.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,791.62 : 314,818.65 = 85,132.62 : x
  2. Step 2: Convert to fraction form
    209,791.62/314,818.65 = 85,132.62/x
  3. Step 3: Cross multiply
    209,791.62x = 314,818.65 × 85,132.62
  4. Step 4: Simplify right side
    209,791.62x = 26,801,336,499.36
  5. Step 5: Solve for x
    x = 26,801,336,499.36/209,791.62
  6. Step 6: Final answer
    x = 127,752.18

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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.