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Finding the Fourth Proportional to 129,744, 194,674.56 and 74,340

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Solution

The fourth proportional to 129,744, 194,674.56 and 74,340 is: 111,543.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,744 : 194,674.56 = 74,340 : x
  2. Step 2: Convert to fraction form
    129,744/194,674.56 = 74,340/x
  3. Step 3: Cross multiply
    129,744x = 194,674.56 × 74,340
  4. Step 4: Simplify right side
    129,744x = 14,472,106,790.40
  5. Step 5: Solve for x
    x = 14,472,106,790.40/129,744
  6. Step 6: Final answer
    x = 111,543.55

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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.