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Finding the Fourth Proportional to 189,574.33, 284,360.68 and 77,229.49

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Solution

The fourth proportional to 189,574.33, 284,360.68 and 77,229.49 is: 115,843.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,574.33 : 284,360.68 = 77,229.49 : x
  2. Step 2: Convert to fraction form
    189,574.33/284,360.68 = 77,229.49/x
  3. Step 3: Cross multiply
    189,574.33x = 284,360.68 × 77,229.49
  4. Step 4: Simplify right side
    189,574.33x = 21,961,030,292.45
  5. Step 5: Solve for x
    x = 21,961,030,292.45/189,574.33
  6. Step 6: Final answer
    x = 115,843.90

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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.