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Finding the Fourth Proportional to 74,080, 102,231.12 and 40,546.72

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Solution

The fourth proportional to 74,080, 102,231.12 and 40,546.72 is: 55,954.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,080 : 102,231.12 = 40,546.72 : x
  2. Step 2: Convert to fraction form
    74,080/102,231.12 = 40,546.72/x
  3. Step 3: Cross multiply
    74,080x = 102,231.12 × 40,546.72
  4. Step 4: Simplify right side
    74,080x = 4,145,136,597.93
  5. Step 5: Solve for x
    x = 4,145,136,597.93/74,080
  6. Step 6: Final answer
    x = 55,954.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.