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Finding the Fourth Proportional to 74,377.78, 102,640.77 and 40,385.61

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Solution

The fourth proportional to 74,377.78, 102,640.77 and 40,385.61 is: 55,731.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,377.78 : 102,640.77 = 40,385.61 : x
  2. Step 2: Convert to fraction form
    74,377.78/102,640.77 = 40,385.61/x
  3. Step 3: Cross multiply
    74,377.78x = 102,640.77 × 40,385.61
  4. Step 4: Simplify right side
    74,377.78x = 4,145,210,107.32
  5. Step 5: Solve for x
    x = 4,145,210,107.32/74,377.78
  6. Step 6: Final answer
    x = 55,731.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.