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Finding the Fourth Proportional to 185,133.79, 277,643.24 and 66,789.69

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Solution

The fourth proportional to 185,133.79, 277,643.24 and 66,789.69 is: 100,163.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,133.79 : 277,643.24 = 66,789.69 : x
  2. Step 2: Convert to fraction form
    185,133.79/277,643.24 = 66,789.69/x
  3. Step 3: Cross multiply
    185,133.79x = 277,643.24 × 66,789.69
  4. Step 4: Simplify right side
    185,133.79x = 18,543,705,930.20
  5. Step 5: Solve for x
    x = 18,543,705,930.20/185,133.79
  6. Step 6: Final answer
    x = 100,163.81

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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.