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Finding the Fourth Proportional to 129,873.70, 194,956.35 and 100,422.10

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Solution

The fourth proportional to 129,873.70, 194,956.35 and 100,422.10 is: 150,745.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,873.70 : 194,956.35 = 100,422.10 : x
  2. Step 2: Convert to fraction form
    129,873.70/194,956.35 = 100,422.10/x
  3. Step 3: Cross multiply
    129,873.70x = 194,956.35 × 100,422.10
  4. Step 4: Simplify right side
    129,873.70x = 19,577,926,075.34
  5. Step 5: Solve for x
    x = 19,577,926,075.34/129,873.70
  6. Step 6: Final answer
    x = 150,745.89

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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.