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Finding the Fourth Proportional to 87,090.84, 130,619.82 and 33,782.70

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Solution

The fourth proportional to 87,090.84, 130,619.82 and 33,782.70 is: 50,667.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,090.84 : 130,619.82 = 33,782.70 : x
  2. Step 2: Convert to fraction form
    87,090.84/130,619.82 = 33,782.70/x
  3. Step 3: Cross multiply
    87,090.84x = 130,619.82 × 33,782.70
  4. Step 4: Simplify right side
    87,090.84x = 4,412,690,193.11
  5. Step 5: Solve for x
    x = 4,412,690,193.11/87,090.84
  6. Step 6: Final answer
    x = 50,667.67

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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.