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Finding the Fourth Proportional to 216,565.25, 324,723.19 and 83,428.19

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Solution

The fourth proportional to 216,565.25, 324,723.19 and 83,428.19 is: 125,094.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,565.25 : 324,723.19 = 83,428.19 : x
  2. Step 2: Convert to fraction form
    216,565.25/324,723.19 = 83,428.19/x
  3. Step 3: Cross multiply
    216,565.25x = 324,723.19 × 83,428.19
  4. Step 4: Simplify right side
    216,565.25x = 27,091,067,992.73
  5. Step 5: Solve for x
    x = 27,091,067,992.73/216,565.25
  6. Step 6: Final answer
    x = 125,094.25

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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.