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Finding the Fourth Proportional to 141,887.34, 195,805.89 and 78,227.46

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Solution

The fourth proportional to 141,887.34, 195,805.89 and 78,227.46 is: 107,954.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,887.34 : 195,805.89 = 78,227.46 : x
  2. Step 2: Convert to fraction form
    141,887.34/195,805.89 = 78,227.46/x
  3. Step 3: Cross multiply
    141,887.34x = 195,805.89 × 78,227.46
  4. Step 4: Simplify right side
    141,887.34x = 15,317,397,427.74
  5. Step 5: Solve for x
    x = 15,317,397,427.74/141,887.34
  6. Step 6: Final answer
    x = 107,954.65

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.