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Finding the Fourth Proportional to 86,286.76, 129,406.39 and 54,649.37

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Solution

The fourth proportional to 86,286.76, 129,406.39 and 54,649.37 is: 81,959.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,286.76 : 129,406.39 = 54,649.37 : x
  2. Step 2: Convert to fraction form
    86,286.76/129,406.39 = 54,649.37/x
  3. Step 3: Cross multiply
    86,286.76x = 129,406.39 × 54,649.37
  4. Step 4: Simplify right side
    86,286.76x = 7,071,977,687.47
  5. Step 5: Solve for x
    x = 7,071,977,687.47/86,286.76
  6. Step 6: Final answer
    x = 81,959.01

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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.