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Finding the Fourth Proportional to 146,142, 201,675.96 and 79,074

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Solution

The fourth proportional to 146,142, 201,675.96 and 79,074 is: 109,122.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,142 : 201,675.96 = 79,074 : x
  2. Step 2: Convert to fraction form
    146,142/201,675.96 = 79,074/x
  3. Step 3: Cross multiply
    146,142x = 201,675.96 × 79,074
  4. Step 4: Simplify right side
    146,142x = 15,947,324,861.04
  5. Step 5: Solve for x
    x = 15,947,324,861.04/146,142
  6. Step 6: Final answer
    x = 109,122.12

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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.