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Finding the Fourth Proportional to 129,863.70, 194,941.35 and 100,412.10

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Solution

The fourth proportional to 129,863.70, 194,941.35 and 100,412.10 is: 150,730.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,863.70 : 194,941.35 = 100,412.10 : x
  2. Step 2: Convert to fraction form
    129,863.70/194,941.35 = 100,412.10/x
  3. Step 3: Cross multiply
    129,863.70x = 194,941.35 × 100,412.10
  4. Step 4: Simplify right side
    129,863.70x = 19,574,470,330.34
  5. Step 5: Solve for x
    x = 19,574,470,330.34/129,863.70
  6. Step 6: Final answer
    x = 150,730.88

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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.