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Finding the Fourth Proportional to 79,640.84, 109,858.64 and 49,781

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Solution

The fourth proportional to 79,640.84, 109,858.64 and 49,781 is: 68,669.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,640.84 : 109,858.64 = 49,781 : x
  2. Step 2: Convert to fraction form
    79,640.84/109,858.64 = 49,781/x
  3. Step 3: Cross multiply
    79,640.84x = 109,858.64 × 49,781
  4. Step 4: Simplify right side
    79,640.84x = 5,468,872,957.84
  5. Step 5: Solve for x
    x = 5,468,872,957.84/79,640.84
  6. Step 6: Final answer
    x = 68,669.20

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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.