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Finding the Fourth Proportional to 87,114.36, 130,619.25 and 30,169.50

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Solution

The fourth proportional to 87,114.36, 130,619.25 and 30,169.50 is: 45,236.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,114.36 : 130,619.25 = 30,169.50 : x
  2. Step 2: Convert to fraction form
    87,114.36/130,619.25 = 30,169.50/x
  3. Step 3: Cross multiply
    87,114.36x = 130,619.25 × 30,169.50
  4. Step 4: Simplify right side
    87,114.36x = 3,940,717,462.88
  5. Step 5: Solve for x
    x = 3,940,717,462.88/87,114.36
  6. Step 6: Final answer
    x = 45,236.14

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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.