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Finding the Fourth Proportional to 127,412, 191,158.32 and 57,297.44

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Solution

The fourth proportional to 127,412, 191,158.32 and 57,297.44 is: 85,964.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,412 : 191,158.32 = 57,297.44 : x
  2. Step 2: Convert to fraction form
    127,412/191,158.32 = 57,297.44/x
  3. Step 3: Cross multiply
    127,412x = 191,158.32 × 57,297.44
  4. Step 4: Simplify right side
    127,412x = 10,952,882,370.70
  5. Step 5: Solve for x
    x = 10,952,882,370.70/127,412
  6. Step 6: Final answer
    x = 85,964.29

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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.