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Finding the Fourth Proportional to 189,496.62, 284,094.99 and 71,154.78

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Solution

The fourth proportional to 189,496.62, 284,094.99 and 71,154.78 is: 106,675.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,496.62 : 284,094.99 = 71,154.78 : x
  2. Step 2: Convert to fraction form
    189,496.62/284,094.99 = 71,154.78/x
  3. Step 3: Cross multiply
    189,496.62x = 284,094.99 × 71,154.78
  4. Step 4: Simplify right side
    189,496.62x = 20,214,716,512.55
  5. Step 5: Solve for x
    x = 20,214,716,512.55/189,496.62
  6. Step 6: Final answer
    x = 106,675.87

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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.