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Finding the Fourth Proportional to 71,574.57, 107,392.23 and 38,286

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Solution

The fourth proportional to 71,574.57, 107,392.23 and 38,286 is: 57,445.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,574.57 : 107,392.23 = 38,286 : x
  2. Step 2: Convert to fraction form
    71,574.57/107,392.23 = 38,286/x
  3. Step 3: Cross multiply
    71,574.57x = 107,392.23 × 38,286
  4. Step 4: Simplify right side
    71,574.57x = 4,111,618,917.78
  5. Step 5: Solve for x
    x = 4,111,618,917.78/71,574.57
  6. Step 6: Final answer
    x = 57,445.25

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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.