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Finding the Fourth Proportional to 133,568.61, 200,034.87 and 77,290.12

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Solution

The fourth proportional to 133,568.61, 200,034.87 and 77,290.12 is: 115,751.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,568.61 : 200,034.87 = 77,290.12 : x
  2. Step 2: Convert to fraction form
    133,568.61/200,034.87 = 77,290.12/x
  3. Step 3: Cross multiply
    133,568.61x = 200,034.87 × 77,290.12
  4. Step 4: Simplify right side
    133,568.61x = 15,460,717,941.49
  5. Step 5: Solve for x
    x = 15,460,717,941.49/133,568.61
  6. Step 6: Final answer
    x = 115,751.13

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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.