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Finding the Fourth Proportional to 189,651.76, 284,488.56 and 71,324.08

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Solution

The fourth proportional to 189,651.76, 284,488.56 and 71,324.08 is: 106,990.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,651.76 : 284,488.56 = 71,324.08 : x
  2. Step 2: Convert to fraction form
    189,651.76/284,488.56 = 71,324.08/x
  3. Step 3: Cross multiply
    189,651.76x = 284,488.56 × 71,324.08
  4. Step 4: Simplify right side
    189,651.76x = 20,290,884,812.52
  5. Step 5: Solve for x
    x = 20,290,884,812.52/189,651.76
  6. Step 6: Final answer
    x = 106,990.23

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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.