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Finding the Fourth Proportional to 105,042.80, 157,717.80 and 74,015.60

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Solution

The fourth proportional to 105,042.80, 157,717.80 and 74,015.60 is: 111,131.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,042.80 : 157,717.80 = 74,015.60 : x
  2. Step 2: Convert to fraction form
    105,042.80/157,717.80 = 74,015.60/x
  3. Step 3: Cross multiply
    105,042.80x = 157,717.80 × 74,015.60
  4. Step 4: Simplify right side
    105,042.80x = 11,673,577,597.68
  5. Step 5: Solve for x
    x = 11,673,577,597.68/105,042.80
  6. Step 6: Final answer
    x = 111,131.63

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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.