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Finding the Fourth Proportional to 217,959.30, 326,829.60 and 99,496.80

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Solution

The fourth proportional to 217,959.30, 326,829.60 and 99,496.80 is: 149,195.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,959.30 : 326,829.60 = 99,496.80 : x
  2. Step 2: Convert to fraction form
    217,959.30/326,829.60 = 99,496.80/x
  3. Step 3: Cross multiply
    217,959.30x = 326,829.60 × 99,496.80
  4. Step 4: Simplify right side
    217,959.30x = 32,518,499,345.28
  5. Step 5: Solve for x
    x = 32,518,499,345.28/217,959.30
  6. Step 6: Final answer
    x = 149,195.28

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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.