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Finding the Fourth Proportional to 141,897.89, 195,820.41 and 78,237.95

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Solution

The fourth proportional to 141,897.89, 195,820.41 and 78,237.95 is: 107,969.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,897.89 : 195,820.41 = 78,237.95 : x
  2. Step 2: Convert to fraction form
    141,897.89/195,820.41 = 78,237.95/x
  3. Step 3: Cross multiply
    141,897.89x = 195,820.41 × 78,237.95
  4. Step 4: Simplify right side
    141,897.89x = 15,320,587,446.56
  5. Step 5: Solve for x
    x = 15,320,587,446.56/141,897.89
  6. Step 6: Final answer
    x = 107,969.10

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Why These Related Problems?

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