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Finding the Fourth Proportional to 189,398.26, 284,023.56 and 71,005

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Solution

The fourth proportional to 189,398.26, 284,023.56 and 71,005 is: 106,479.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,398.26 : 284,023.56 = 71,005 : x
  2. Step 2: Convert to fraction form
    189,398.26/284,023.56 = 71,005/x
  3. Step 3: Cross multiply
    189,398.26x = 284,023.56 × 71,005
  4. Step 4: Simplify right side
    189,398.26x = 20,167,092,877.80
  5. Step 5: Solve for x
    x = 20,167,092,877.80/189,398.26
  6. Step 6: Final answer
    x = 106,479.82

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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.