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Finding the Fourth Proportional to 185,138.40, 277,650 and 66,794.40

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Solution

The fourth proportional to 185,138.40, 277,650 and 66,794.40 is: 100,170.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,138.40 : 277,650 = 66,794.40 : x
  2. Step 2: Convert to fraction form
    185,138.40/277,650 = 66,794.40/x
  3. Step 3: Cross multiply
    185,138.40x = 277,650 × 66,794.40
  4. Step 4: Simplify right side
    185,138.40x = 18,545,465,160
  5. Step 5: Solve for x
    x = 18,545,465,160/185,138.40
  6. Step 6: Final answer
    x = 100,170.82

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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.