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Finding the Fourth Proportional to 69,357.62, 103,992.69 and 38,214.74

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Solution

The fourth proportional to 69,357.62, 103,992.69 and 38,214.74 is: 57,298.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,357.62 : 103,992.69 = 38,214.74 : x
  2. Step 2: Convert to fraction form
    69,357.62/103,992.69 = 38,214.74/x
  3. Step 3: Cross multiply
    69,357.62x = 103,992.69 × 38,214.74
  4. Step 4: Simplify right side
    69,357.62x = 3,974,053,610.25
  5. Step 5: Solve for x
    x = 3,974,053,610.25/69,357.62
  6. Step 6: Final answer
    x = 57,298.01

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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.