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Finding the Fourth Proportional to 189,634.55, 284,462.75 and 71,306.91

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Solution

The fourth proportional to 189,634.55, 284,462.75 and 71,306.91 is: 106,964.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,634.55 : 284,462.75 = 71,306.91 : x
  2. Step 2: Convert to fraction form
    189,634.55/284,462.75 = 71,306.91/x
  3. Step 3: Cross multiply
    189,634.55x = 284,462.75 × 71,306.91
  4. Step 4: Simplify right side
    189,634.55x = 20,284,159,890.87
  5. Step 5: Solve for x
    x = 20,284,159,890.87/189,634.55
  6. Step 6: Final answer
    x = 106,964.48

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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.