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Finding the Fourth Proportional to 81,490.78, 122,223.06 and 22,312.61

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Solution

The fourth proportional to 81,490.78, 122,223.06 and 22,312.61 is: 33,465.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,490.78 : 122,223.06 = 22,312.61 : x
  2. Step 2: Convert to fraction form
    81,490.78/122,223.06 = 22,312.61/x
  3. Step 3: Cross multiply
    81,490.78x = 122,223.06 × 22,312.61
  4. Step 4: Simplify right side
    81,490.78x = 2,727,115,470.79
  5. Step 5: Solve for x
    x = 2,727,115,470.79/81,490.78
  6. Step 6: Final answer
    x = 33,465.33

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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.