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Finding the Fourth Proportional to 81,784.98, 122,663.70 and 26,380.98

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Solution

The fourth proportional to 81,784.98, 122,663.70 and 26,380.98 is: 39,567.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,784.98 : 122,663.70 = 26,380.98 : x
  2. Step 2: Convert to fraction form
    81,784.98/122,663.70 = 26,380.98/x
  3. Step 3: Cross multiply
    81,784.98x = 122,663.70 × 26,380.98
  4. Step 4: Simplify right side
    81,784.98x = 3,235,988,616.43
  5. Step 5: Solve for x
    x = 3,235,988,616.43/81,784.98
  6. Step 6: Final answer
    x = 39,567.03

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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.