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Finding the Fourth Proportional to 82,817.64, 124,209 and 26,662.77

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Solution

The fourth proportional to 82,817.64, 124,209 and 26,662.77 is: 39,988.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,817.64 : 124,209 = 26,662.77 : x
  2. Step 2: Convert to fraction form
    82,817.64/124,209 = 26,662.77/x
  3. Step 3: Cross multiply
    82,817.64x = 124,209 × 26,662.77
  4. Step 4: Simplify right side
    82,817.64x = 3,311,755,998.93
  5. Step 5: Solve for x
    x = 3,311,755,998.93/82,817.64
  6. Step 6: Final answer
    x = 39,988.53

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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.