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Finding the Fourth Proportional to 141,871.84, 195,787.32 and 78,213.76

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Solution

The fourth proportional to 141,871.84, 195,787.32 and 78,213.76 is: 107,937.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,871.84 : 195,787.32 = 78,213.76 : x
  2. Step 2: Convert to fraction form
    141,871.84/195,787.32 = 78,213.76/x
  3. Step 3: Cross multiply
    141,871.84x = 195,787.32 × 78,213.76
  4. Step 4: Simplify right side
    141,871.84x = 15,313,262,457.52
  5. Step 5: Solve for x
    x = 15,313,262,457.52/141,871.84
  6. Step 6: Final answer
    x = 107,937.29

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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.