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Finding the Fourth Proportional to 86,540.40, 129,853.80 and 49,129.20

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Solution

The fourth proportional to 86,540.40, 129,853.80 and 49,129.20 is: 73,718.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,540.40 : 129,853.80 = 49,129.20 : x
  2. Step 2: Convert to fraction form
    86,540.40/129,853.80 = 49,129.20/x
  3. Step 3: Cross multiply
    86,540.40x = 129,853.80 × 49,129.20
  4. Step 4: Simplify right side
    86,540.40x = 6,379,613,310.96
  5. Step 5: Solve for x
    x = 6,379,613,310.96/86,540.40
  6. Step 6: Final answer
    x = 73,718.32

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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.