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Finding the Fourth Proportional to 105,112.67, 157,718.21 and 45,940.65

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Solution

The fourth proportional to 105,112.67, 157,718.21 and 45,940.65 is: 68,932.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,112.67 : 157,718.21 = 45,940.65 : x
  2. Step 2: Convert to fraction form
    105,112.67/157,718.21 = 45,940.65/x
  3. Step 3: Cross multiply
    105,112.67x = 157,718.21 × 45,940.65
  4. Step 4: Simplify right side
    105,112.67x = 7,245,676,854.53
  5. Step 5: Solve for x
    x = 7,245,676,854.53/105,112.67
  6. Step 6: Final answer
    x = 68,932.48

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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.