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Finding the Fourth Proportional to 141,885.78, 195,811.20 and 78,223.48

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Solution

The fourth proportional to 141,885.78, 195,811.20 and 78,223.48 is: 107,953.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,885.78 : 195,811.20 = 78,223.48 : x
  2. Step 2: Convert to fraction form
    141,885.78/195,811.20 = 78,223.48/x
  3. Step 3: Cross multiply
    141,885.78x = 195,811.20 × 78,223.48
  4. Step 4: Simplify right side
    141,885.78x = 15,317,033,486.98
  5. Step 5: Solve for x
    x = 15,317,033,486.98/141,885.78
  6. Step 6: Final answer
    x = 107,953.27

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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.