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Finding the Fourth Proportional to 218,067.30, 327,117.15 and 77,807.70

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Solution

The fourth proportional to 218,067.30, 327,117.15 and 77,807.70 is: 116,717.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,067.30 : 327,117.15 = 77,807.70 : x
  2. Step 2: Convert to fraction form
    218,067.30/327,117.15 = 77,807.70/x
  3. Step 3: Cross multiply
    218,067.30x = 327,117.15 × 77,807.70
  4. Step 4: Simplify right side
    218,067.30x = 25,452,233,072.06
  5. Step 5: Solve for x
    x = 25,452,233,072.06/218,067.30
  6. Step 6: Final answer
    x = 116,717.33

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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.