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Finding the Fourth Proportional to 105,085.86, 157,568.19 and 71,846.22

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Solution

The fourth proportional to 105,085.86, 157,568.19 and 71,846.22 is: 107,727.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,085.86 : 157,568.19 = 71,846.22 : x
  2. Step 2: Convert to fraction form
    105,085.86/157,568.19 = 71,846.22/x
  3. Step 3: Cross multiply
    105,085.86x = 157,568.19 × 71,846.22
  4. Step 4: Simplify right side
    105,085.86x = 11,320,678,843.74
  5. Step 5: Solve for x
    x = 11,320,678,843.74/105,085.86
  6. Step 6: Final answer
    x = 107,727.90

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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.