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Finding the Fourth Proportional to 141,802.56, 195,691.72 and 78,144.44

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Solution

The fourth proportional to 141,802.56, 195,691.72 and 78,144.44 is: 107,841.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,802.56 : 195,691.72 = 78,144.44 : x
  2. Step 2: Convert to fraction form
    141,802.56/195,691.72 = 78,144.44/x
  3. Step 3: Cross multiply
    141,802.56x = 195,691.72 × 78,144.44
  4. Step 4: Simplify right side
    141,802.56x = 15,292,219,872.04
  5. Step 5: Solve for x
    x = 15,292,219,872.04/141,802.56
  6. Step 6: Final answer
    x = 107,841.63

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1.5x scale

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.