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Finding the Fourth Proportional to 217,660.02, 326,531.79 and 75,499.80

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Solution

The fourth proportional to 217,660.02, 326,531.79 and 75,499.80 is: 113,264.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,660.02 : 326,531.79 = 75,499.80 : x
  2. Step 2: Convert to fraction form
    217,660.02/326,531.79 = 75,499.80/x
  3. Step 3: Cross multiply
    217,660.02x = 326,531.79 × 75,499.80
  4. Step 4: Simplify right side
    217,660.02x = 24,653,084,838.64
  5. Step 5: Solve for x
    x = 24,653,084,838.64/217,660.02
  6. Step 6: Final answer
    x = 113,264.19

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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.