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Finding the Fourth Proportional to 217,735.70, 326,641.82 and 99,419.00

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Solution

The fourth proportional to 217,735.70, 326,641.82 and 99,419.00 is: 149,145.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,735.70 : 326,641.82 = 99,419.00 : x
  2. Step 2: Convert to fraction form
    217,735.70/326,641.82 = 99,419.00/x
  3. Step 3: Cross multiply
    217,735.70x = 326,641.82 × 99,419.00
  4. Step 4: Simplify right side
    217,735.70x = 32,474,400,972.28
  5. Step 5: Solve for x
    x = 32,474,400,972.28/217,735.70
  6. Step 6: Final answer
    x = 149,145.97

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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.