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Finding the Fourth Proportional to 86,004.82, 129,057.07 and 36,080.50

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Solution

The fourth proportional to 86,004.82, 129,057.07 and 36,080.50 is: 54,141.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,004.82 : 129,057.07 = 36,080.50 : x
  2. Step 2: Convert to fraction form
    86,004.82/129,057.07 = 36,080.50/x
  3. Step 3: Cross multiply
    86,004.82x = 129,057.07 × 36,080.50
  4. Step 4: Simplify right side
    86,004.82x = 4,656,443,614.14
  5. Step 5: Solve for x
    x = 4,656,443,614.14/86,004.82
  6. Step 6: Final answer
    x = 54,141.66

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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.