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Finding the Fourth Proportional to 189,633.60, 284,448.60 and 77,287.44

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Solution

The fourth proportional to 189,633.60, 284,448.60 and 77,287.44 is: 115,930.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,633.60 : 284,448.60 = 77,287.44 : x
  2. Step 2: Convert to fraction form
    189,633.60/284,448.60 = 77,287.44/x
  3. Step 3: Cross multiply
    189,633.60x = 284,448.60 × 77,287.44
  4. Step 4: Simplify right side
    189,633.60x = 21,984,304,105.58
  5. Step 5: Solve for x
    x = 21,984,304,105.58/189,633.60
  6. Step 6: Final answer
    x = 115,930.43

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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.