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Finding the Fourth Proportional to 217,197.80, 325,829.10 and 76,945.40

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Solution

The fourth proportional to 217,197.80, 325,829.10 and 76,945.40 is: 115,429.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,197.80 : 325,829.10 = 76,945.40 : x
  2. Step 2: Convert to fraction form
    217,197.80/325,829.10 = 76,945.40/x
  3. Step 3: Cross multiply
    217,197.80x = 325,829.10 × 76,945.40
  4. Step 4: Simplify right side
    217,197.80x = 25,071,050,431.14
  5. Step 5: Solve for x
    x = 25,071,050,431.14/217,197.80
  6. Step 6: Final answer
    x = 115,429.58

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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.