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Finding the Fourth Proportional to 130,767.70, 195,964.41 and 74,491.66

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Solution

The fourth proportional to 130,767.70, 195,964.41 and 74,491.66 is: 111,630.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,767.70 : 195,964.41 = 74,491.66 : x
  2. Step 2: Convert to fraction form
    130,767.70/195,964.41 = 74,491.66/x
  3. Step 3: Cross multiply
    130,767.70x = 195,964.41 × 74,491.66
  4. Step 4: Simplify right side
    130,767.70x = 14,597,714,201.82
  5. Step 5: Solve for x
    x = 14,597,714,201.82/130,767.70
  6. Step 6: Final answer
    x = 111,630.89

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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.