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Finding the Fourth Proportional to 86,817.80, 130,226.70 and 27,659.45

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Solution

The fourth proportional to 86,817.80, 130,226.70 and 27,659.45 is: 41,489.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,817.80 : 130,226.70 = 27,659.45 : x
  2. Step 2: Convert to fraction form
    86,817.80/130,226.70 = 27,659.45/x
  3. Step 3: Cross multiply
    86,817.80x = 130,226.70 × 27,659.45
  4. Step 4: Simplify right side
    86,817.80x = 3,601,998,897.32
  5. Step 5: Solve for x
    x = 3,601,998,897.32/86,817.80
  6. Step 6: Final answer
    x = 41,489.18

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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.