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Finding the Fourth Proportional to 81,590.30, 122,363.18 and 22,411.90

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Solution

The fourth proportional to 81,590.30, 122,363.18 and 22,411.90 is: 33,611.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,590.30 : 122,363.18 = 22,411.90 : x
  2. Step 2: Convert to fraction form
    81,590.30/122,363.18 = 22,411.90/x
  3. Step 3: Cross multiply
    81,590.30x = 122,363.18 × 22,411.90
  4. Step 4: Simplify right side
    81,590.30x = 2,742,391,353.84
  5. Step 5: Solve for x
    x = 2,742,391,353.84/81,590.30
  6. Step 6: Final answer
    x = 33,611.73

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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.