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Finding the Fourth Proportional to 129,384.42, 193,921.11 and 70,217.70

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Solution

The fourth proportional to 129,384.42, 193,921.11 and 70,217.70 is: 105,242.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,384.42 : 193,921.11 = 70,217.70 : x
  2. Step 2: Convert to fraction form
    129,384.42/193,921.11 = 70,217.70/x
  3. Step 3: Cross multiply
    129,384.42x = 193,921.11 × 70,217.70
  4. Step 4: Simplify right side
    129,384.42x = 13,616,694,325.65
  5. Step 5: Solve for x
    x = 13,616,694,325.65/129,384.42
  6. Step 6: Final answer
    x = 105,242.15

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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.