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Finding the Fourth Proportional to 141,875.68, 195,787.72 and 78,213.28

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Solution

The fourth proportional to 141,875.68, 195,787.72 and 78,213.28 is: 107,933.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,875.68 : 195,787.72 = 78,213.28 : x
  2. Step 2: Convert to fraction form
    141,875.68/195,787.72 = 78,213.28/x
  3. Step 3: Cross multiply
    141,875.68x = 195,787.72 × 78,213.28
  4. Step 4: Simplify right side
    141,875.68x = 15,313,199,764.92
  5. Step 5: Solve for x
    x = 15,313,199,764.92/141,875.68
  6. Step 6: Final answer
    x = 107,933.93

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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.