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Finding the Fourth Proportional to 135,077.22, 202,552.22 and 78,933.56

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Solution

The fourth proportional to 135,077.22, 202,552.22 and 78,933.56 is: 118,363.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,077.22 : 202,552.22 = 78,933.56 : x
  2. Step 2: Convert to fraction form
    135,077.22/202,552.22 = 78,933.56/x
  3. Step 3: Cross multiply
    135,077.22x = 202,552.22 × 78,933.56
  4. Step 4: Simplify right side
    135,077.22x = 15,988,166,403.07
  5. Step 5: Solve for x
    x = 15,988,166,403.07/135,077.22
  6. Step 6: Final answer
    x = 118,363.16

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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.