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Finding the Fourth Proportional to 133,310.70, 200,052.45 and 77,150.70

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Solution

The fourth proportional to 133,310.70, 200,052.45 and 77,150.70 is: 115,776.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,310.70 : 200,052.45 = 77,150.70 : x
  2. Step 2: Convert to fraction form
    133,310.70/200,052.45 = 77,150.70/x
  3. Step 3: Cross multiply
    133,310.70x = 200,052.45 × 77,150.70
  4. Step 4: Simplify right side
    133,310.70x = 15,434,186,554.22
  5. Step 5: Solve for x
    x = 15,434,186,554.22/133,310.70
  6. Step 6: Final answer
    x = 115,776.05

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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.