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Finding the Fourth Proportional to 89,189, 133,792.14 and 30,039.56

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Solution

The fourth proportional to 89,189, 133,792.14 and 30,039.56 is: 45,062.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,189 : 133,792.14 = 30,039.56 : x
  2. Step 2: Convert to fraction form
    89,189/133,792.14 = 30,039.56/x
  3. Step 3: Cross multiply
    89,189x = 133,792.14 × 30,039.56
  4. Step 4: Simplify right side
    89,189x = 4,019,057,017.06
  5. Step 5: Solve for x
    x = 4,019,057,017.06/89,189
  6. Step 6: Final answer
    x = 45,062.25

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1.5x scale

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.