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Finding the Fourth Proportional to 217,065.20, 325,986.60 and 157,967.60

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Solution

The fourth proportional to 217,065.20, 325,986.60 and 157,967.60 is: 237,234.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,065.20 : 325,986.60 = 157,967.60 : x
  2. Step 2: Convert to fraction form
    217,065.20/325,986.60 = 157,967.60/x
  3. Step 3: Cross multiply
    217,065.20x = 325,986.60 × 157,967.60
  4. Step 4: Simplify right side
    217,065.20x = 51,495,320,834.16
  5. Step 5: Solve for x
    x = 51,495,320,834.16/217,065.20
  6. Step 6: Final answer
    x = 237,234.35

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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.