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Finding the Fourth Proportional to 217,722.54, 326,684.25 and 99,430.14

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Solution

The fourth proportional to 217,722.54, 326,684.25 and 99,430.14 is: 149,191.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,722.54 : 326,684.25 = 99,430.14 : x
  2. Step 2: Convert to fraction form
    217,722.54/326,684.25 = 99,430.14/x
  3. Step 3: Cross multiply
    217,722.54x = 326,684.25 × 99,430.14
  4. Step 4: Simplify right side
    217,722.54x = 32,482,260,713.30
  5. Step 5: Solve for x
    x = 32,482,260,713.30/217,722.54
  6. Step 6: Final answer
    x = 149,191.08

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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.