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Finding the Fourth Proportional to 189,048.60, 283,691.10 and 76,728.80

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Solution

The fourth proportional to 189,048.60, 283,691.10 and 76,728.80 is: 115,141.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,048.60 : 283,691.10 = 76,728.80 : x
  2. Step 2: Convert to fraction form
    189,048.60/283,691.10 = 76,728.80/x
  3. Step 3: Cross multiply
    189,048.60x = 283,691.10 × 76,728.80
  4. Step 4: Simplify right side
    189,048.60x = 21,767,277,673.68
  5. Step 5: Solve for x
    x = 21,767,277,673.68/189,048.60
  6. Step 6: Final answer
    x = 115,141.17

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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.