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Finding the Fourth Proportional to 189,475.10, 283,965.83 and 77,023.97

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Solution

The fourth proportional to 189,475.10, 283,965.83 and 77,023.97 is: 115,435.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,475.10 : 283,965.83 = 77,023.97 : x
  2. Step 2: Convert to fraction form
    189,475.10/283,965.83 = 77,023.97/x
  3. Step 3: Cross multiply
    189,475.10x = 283,965.83 × 77,023.97
  4. Step 4: Simplify right side
    189,475.10x = 21,872,174,151.12
  5. Step 5: Solve for x
    x = 21,872,174,151.12/189,475.10
  6. Step 6: Final answer
    x = 115,435.61

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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.