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Finding the Fourth Proportional to 125,310.32, 187,965.32 and 30,540.40

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Solution

The fourth proportional to 125,310.32, 187,965.32 and 30,540.40 is: 45,810.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,310.32 : 187,965.32 = 30,540.40 : x
  2. Step 2: Convert to fraction form
    125,310.32/187,965.32 = 30,540.40/x
  3. Step 3: Cross multiply
    125,310.32x = 187,965.32 × 30,540.40
  4. Step 4: Simplify right side
    125,310.32x = 5,740,536,058.93
  5. Step 5: Solve for x
    x = 5,740,536,058.93/125,310.32
  6. Step 6: Final answer
    x = 45,810.56

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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.