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Finding the Fourth Proportional to 133,576.95, 200,047.39 and 77,298.42

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Solution

The fourth proportional to 133,576.95, 200,047.39 and 77,298.42 is: 115,763.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,576.95 : 200,047.39 = 77,298.42 : x
  2. Step 2: Convert to fraction form
    133,576.95/200,047.39 = 77,298.42/x
  3. Step 3: Cross multiply
    133,576.95x = 200,047.39 × 77,298.42
  4. Step 4: Simplify right side
    133,576.95x = 15,463,347,172.12
  5. Step 5: Solve for x
    x = 15,463,347,172.12/133,576.95
  6. Step 6: Final answer
    x = 115,763.59

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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.