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Finding the Fourth Proportional to 126,243.68, 189,221.64 and 78,880.64

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Solution

The fourth proportional to 126,243.68, 189,221.64 and 78,880.64 is: 118,231.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,243.68 : 189,221.64 = 78,880.64 : x
  2. Step 2: Convert to fraction form
    126,243.68/189,221.64 = 78,880.64/x
  3. Step 3: Cross multiply
    126,243.68x = 189,221.64 × 78,880.64
  4. Step 4: Simplify right side
    126,243.68x = 14,925,924,065.05
  5. Step 5: Solve for x
    x = 14,925,924,065.05/126,243.68
  6. Step 6: Final answer
    x = 118,231.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.