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Finding the Fourth Proportional to 189,391.93, 283,721.56 and 158,631.86

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Solution

The fourth proportional to 189,391.93, 283,721.56 and 158,631.86 is: 237,640.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,391.93 : 283,721.56 = 158,631.86 : x
  2. Step 2: Convert to fraction form
    189,391.93/283,721.56 = 158,631.86/x
  3. Step 3: Cross multiply
    189,391.93x = 283,721.56 × 158,631.86
  4. Step 4: Simplify right side
    189,391.93x = 45,007,278,784.90
  5. Step 5: Solve for x
    x = 45,007,278,784.90/189,391.93
  6. Step 6: Final answer
    x = 237,640.95

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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.