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Finding the Fourth Proportional to 140,490.94, 193,877.49 and 76,828.78

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Solution

The fourth proportional to 140,490.94, 193,877.49 and 76,828.78 is: 106,023.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,490.94 : 193,877.49 = 76,828.78 : x
  2. Step 2: Convert to fraction form
    140,490.94/193,877.49 = 76,828.78/x
  3. Step 3: Cross multiply
    140,490.94x = 193,877.49 × 76,828.78
  4. Step 4: Simplify right side
    140,490.94x = 14,895,371,026.16
  5. Step 5: Solve for x
    x = 14,895,371,026.16/140,490.94
  6. Step 6: Final answer
    x = 106,023.71

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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.