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Finding the Fourth Proportional to 105,763.97, 158,694.39 and 45,810.78

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Solution

The fourth proportional to 105,763.97, 158,694.39 and 45,810.78 is: 68,737.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,763.97 : 158,694.39 = 45,810.78 : x
  2. Step 2: Convert to fraction form
    105,763.97/158,694.39 = 45,810.78/x
  3. Step 3: Cross multiply
    105,763.97x = 158,694.39 × 45,810.78
  4. Step 4: Simplify right side
    105,763.97x = 7,269,913,787.52
  5. Step 5: Solve for x
    x = 7,269,913,787.52/105,763.97
  6. Step 6: Final answer
    x = 68,737.15

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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.