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Finding the Fourth Proportional to 218,146.20, 327,202.02 and 77,890.20

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Solution

The fourth proportional to 218,146.20, 327,202.02 and 77,890.20 is: 116,829.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,146.20 : 327,202.02 = 77,890.20 : x
  2. Step 2: Convert to fraction form
    218,146.20/327,202.02 = 77,890.20/x
  3. Step 3: Cross multiply
    218,146.20x = 327,202.02 × 77,890.20
  4. Step 4: Simplify right side
    218,146.20x = 25,485,830,778.20
  5. Step 5: Solve for x
    x = 25,485,830,778.20/218,146.20
  6. Step 6: Final answer
    x = 116,829.13

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1.5x scale

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.