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Finding the Fourth Proportional to 217,748.60, 326,661.12 and 99,431.90

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Solution

The fourth proportional to 217,748.60, 326,661.12 and 99,431.90 is: 149,165.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,748.60 : 326,661.12 = 99,431.90 : x
  2. Step 2: Convert to fraction form
    217,748.60/326,661.12 = 99,431.90/x
  3. Step 3: Cross multiply
    217,748.60x = 326,661.12 × 99,431.90
  4. Step 4: Simplify right side
    217,748.60x = 32,480,535,817.73
  5. Step 5: Solve for x
    x = 32,480,535,817.73/217,748.60
  6. Step 6: Final answer
    x = 149,165.30

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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.