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Finding the Fourth Proportional to 130,781.67, 196,174.33 and 37,287.42

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Solution

The fourth proportional to 130,781.67, 196,174.33 and 37,287.42 is: 55,931.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,781.67 : 196,174.33 = 37,287.42 : x
  2. Step 2: Convert to fraction form
    130,781.67/196,174.33 = 37,287.42/x
  3. Step 3: Cross multiply
    130,781.67x = 196,174.33 × 37,287.42
  4. Step 4: Simplify right side
    130,781.67x = 7,314,835,120.28
  5. Step 5: Solve for x
    x = 7,314,835,120.28/130,781.67
  6. Step 6: Final answer
    x = 55,931.65

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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.