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Finding the Fourth Proportional to 142,360.80, 196,449.46 and 78,694.80

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Solution

The fourth proportional to 142,360.80, 196,449.46 and 78,694.80 is: 108,594.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,360.80 : 196,449.46 = 78,694.80 : x
  2. Step 2: Convert to fraction form
    142,360.80/196,449.46 = 78,694.80/x
  3. Step 3: Cross multiply
    142,360.80x = 196,449.46 × 78,694.80
  4. Step 4: Simplify right side
    142,360.80x = 15,459,550,964.81
  5. Step 5: Solve for x
    x = 15,459,550,964.81/142,360.80
  6. Step 6: Final answer
    x = 108,594.16

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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.