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Finding the Fourth Proportional to 133,568.55, 200,034.79 and 77,290.05

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Solution

The fourth proportional to 133,568.55, 200,034.79 and 77,290.05 is: 115,751.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,568.55 : 200,034.79 = 77,290.05 : x
  2. Step 2: Convert to fraction form
    133,568.55/200,034.79 = 77,290.05/x
  3. Step 3: Cross multiply
    133,568.55x = 200,034.79 × 77,290.05
  4. Step 4: Simplify right side
    133,568.55x = 15,460,698,534.39
  5. Step 5: Solve for x
    x = 15,460,698,534.39/133,568.55
  6. Step 6: Final answer
    x = 115,751.04

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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.