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Finding the Fourth Proportional to 189,404.20, 284,106.30 and 71,079.40

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Solution

The fourth proportional to 189,404.20, 284,106.30 and 71,079.40 is: 106,619.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,404.20 : 284,106.30 = 71,079.40 : x
  2. Step 2: Convert to fraction form
    189,404.20/284,106.30 = 71,079.40/x
  3. Step 3: Cross multiply
    189,404.20x = 284,106.30 × 71,079.40
  4. Step 4: Simplify right side
    189,404.20x = 20,194,105,340.22
  5. Step 5: Solve for x
    x = 20,194,105,340.22/189,404.20
  6. Step 6: Final answer
    x = 106,619.10

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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.