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Finding the Fourth Proportional to 129,881.70, 194,808.15 and 106,467.30

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Solution

The fourth proportional to 129,881.70, 194,808.15 and 106,467.30 is: 159,689.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,881.70 : 194,808.15 = 106,467.30 : x
  2. Step 2: Convert to fraction form
    129,881.70/194,808.15 = 106,467.30/x
  3. Step 3: Cross multiply
    129,881.70x = 194,808.15 × 106,467.30
  4. Step 4: Simplify right side
    129,881.70x = 20,740,697,748.50
  5. Step 5: Solve for x
    x = 20,740,697,748.50/129,881.70
  6. Step 6: Final answer
    x = 159,689.15

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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.