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Finding the Fourth Proportional to 130,781.74, 196,174.43 and 37,287.49

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Solution

The fourth proportional to 130,781.74, 196,174.43 and 37,287.49 is: 55,931.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,781.74 : 196,174.43 = 37,287.49 : x
  2. Step 2: Convert to fraction form
    130,781.74/196,174.43 = 37,287.49/x
  3. Step 3: Cross multiply
    130,781.74x = 196,174.43 × 37,287.49
  4. Step 4: Simplify right side
    130,781.74x = 7,314,850,929.57
  5. Step 5: Solve for x
    x = 7,314,850,929.57/130,781.74
  6. Step 6: Final answer
    x = 55,931.75

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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.