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Finding the Fourth Proportional to 133,983.05, 200,711.84 and 77,704.96

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Solution

The fourth proportional to 133,983.05, 200,711.84 and 77,704.96 is: 116,405.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,983.05 : 200,711.84 = 77,704.96 : x
  2. Step 2: Convert to fraction form
    133,983.05/200,711.84 = 77,704.96/x
  3. Step 3: Cross multiply
    133,983.05x = 200,711.84 × 77,704.96
  4. Step 4: Simplify right side
    133,983.05x = 15,596,306,327.77
  5. Step 5: Solve for x
    x = 15,596,306,327.77/133,983.05
  6. Step 6: Final answer
    x = 116,405.07

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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.