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Finding the Fourth Proportional to 86,056.80, 129,022.29 and 57,906.87

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Solution

The fourth proportional to 86,056.80, 129,022.29 and 57,906.87 is: 86,817.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,056.80 : 129,022.29 = 57,906.87 : x
  2. Step 2: Convert to fraction form
    86,056.80/129,022.29 = 57,906.87/x
  3. Step 3: Cross multiply
    86,056.80x = 129,022.29 × 57,906.87
  4. Step 4: Simplify right side
    86,056.80x = 7,471,276,974.13
  5. Step 5: Solve for x
    x = 7,471,276,974.13/86,056.80
  6. Step 6: Final answer
    x = 86,817.97

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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.