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Finding the Fourth Proportional to 105,449.94, 157,976.21 and 52,079.45

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Solution

The fourth proportional to 105,449.94, 157,976.21 and 52,079.45 is: 78,021.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,449.94 : 157,976.21 = 52,079.45 : x
  2. Step 2: Convert to fraction form
    105,449.94/157,976.21 = 52,079.45/x
  3. Step 3: Cross multiply
    105,449.94x = 157,976.21 × 52,079.45
  4. Step 4: Simplify right side
    105,449.94x = 8,227,313,470.20
  5. Step 5: Solve for x
    x = 8,227,313,470.20/105,449.94
  6. Step 6: Final answer
    x = 78,021.04

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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.