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Finding the Fourth Proportional to 189,519.52, 284,377.92 and 77,282.56

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Solution

The fourth proportional to 189,519.52, 284,377.92 and 77,282.56 is: 115,964.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,519.52 : 284,377.92 = 77,282.56 : x
  2. Step 2: Convert to fraction form
    189,519.52/284,377.92 = 77,282.56/x
  3. Step 3: Cross multiply
    189,519.52x = 284,377.92 × 77,282.56
  4. Step 4: Simplify right side
    189,519.52x = 21,977,453,665.08
  5. Step 5: Solve for x
    x = 21,977,453,665.08/189,519.52
  6. Step 6: Final answer
    x = 115,964.06

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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.