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Finding the Fourth Proportional to 81,909.86, 122,864.70 and 25,754.89

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Solution

The fourth proportional to 81,909.86, 122,864.70 and 25,754.89 is: 38,632.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,909.86 : 122,864.70 = 25,754.89 : x
  2. Step 2: Convert to fraction form
    81,909.86/122,864.70 = 25,754.89/x
  3. Step 3: Cross multiply
    81,909.86x = 122,864.70 × 25,754.89
  4. Step 4: Simplify right side
    81,909.86x = 3,164,366,219.06
  5. Step 5: Solve for x
    x = 3,164,366,219.06/81,909.86
  6. Step 6: Final answer
    x = 38,632.30

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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.