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Finding the Fourth Proportional to 102,766, 154,180.08 and 72,838.12

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Solution

The fourth proportional to 102,766, 154,180.08 and 72,838.12 is: 109,279.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,766 : 154,180.08 = 72,838.12 : x
  2. Step 2: Convert to fraction form
    102,766/154,180.08 = 72,838.12/x
  3. Step 3: Cross multiply
    102,766x = 154,180.08 × 72,838.12
  4. Step 4: Simplify right side
    102,766x = 11,230,187,168.65
  5. Step 5: Solve for x
    x = 11,230,187,168.65/102,766
  6. Step 6: Final answer
    x = 109,279.21

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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.