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Finding the Fourth Proportional to 217,223.10, 325,834.65 and 146,720.70

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Solution

The fourth proportional to 217,223.10, 325,834.65 and 146,720.70 is: 220,081.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,223.10 : 325,834.65 = 146,720.70 : x
  2. Step 2: Convert to fraction form
    217,223.10/325,834.65 = 146,720.70/x
  3. Step 3: Cross multiply
    217,223.10x = 325,834.65 × 146,720.70
  4. Step 4: Simplify right side
    217,223.10x = 47,806,687,932.26
  5. Step 5: Solve for x
    x = 47,806,687,932.26/217,223.10
  6. Step 6: Final answer
    x = 220,081.05

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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.