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Finding the Fourth Proportional to 216,147.76, 324,265.38 and 75,917.32

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Solution

The fourth proportional to 216,147.76, 324,265.38 and 75,917.32 is: 113,891.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,147.76 : 324,265.38 = 75,917.32 : x
  2. Step 2: Convert to fraction form
    216,147.76/324,265.38 = 75,917.32/x
  3. Step 3: Cross multiply
    216,147.76x = 324,265.38 × 75,917.32
  4. Step 4: Simplify right side
    216,147.76x = 24,617,359,308.40
  5. Step 5: Solve for x
    x = 24,617,359,308.40/216,147.76
  6. Step 6: Final answer
    x = 113,891.35

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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.