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Finding the Fourth Proportional to 126,912.84, 190,369.72 and 32,143

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Solution

The fourth proportional to 126,912.84, 190,369.72 and 32,143 is: 48,214.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,912.84 : 190,369.72 = 32,143 : x
  2. Step 2: Convert to fraction form
    126,912.84/190,369.72 = 32,143/x
  3. Step 3: Cross multiply
    126,912.84x = 190,369.72 × 32,143
  4. Step 4: Simplify right side
    126,912.84x = 6,119,053,909.96
  5. Step 5: Solve for x
    x = 6,119,053,909.96/126,912.84
  6. Step 6: Final answer
    x = 48,214.62

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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.