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Finding the Fourth Proportional to 130,715.82, 195,978.15 and 41,918.78

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Solution

The fourth proportional to 130,715.82, 195,978.15 and 41,918.78 is: 62,847.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,715.82 : 195,978.15 = 41,918.78 : x
  2. Step 2: Convert to fraction form
    130,715.82/195,978.15 = 41,918.78/x
  3. Step 3: Cross multiply
    130,715.82x = 195,978.15 × 41,918.78
  4. Step 4: Simplify right side
    130,715.82x = 8,215,164,954.66
  5. Step 5: Solve for x
    x = 8,215,164,954.66/130,715.82
  6. Step 6: Final answer
    x = 62,847.52

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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.