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Finding the Fourth Proportional to 208,174.56, 312,436.80 and 89,936.16

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Solution

The fourth proportional to 208,174.56, 312,436.80 and 89,936.16 is: 134,979.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,174.56 : 312,436.80 = 89,936.16 : x
  2. Step 2: Convert to fraction form
    208,174.56/312,436.80 = 89,936.16/x
  3. Step 3: Cross multiply
    208,174.56x = 312,436.80 × 89,936.16
  4. Step 4: Simplify right side
    208,174.56x = 28,099,366,034.69
  5. Step 5: Solve for x
    x = 28,099,366,034.69/208,174.56
  6. Step 6: Final answer
    x = 134,979.83

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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.