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Finding the Fourth Proportional to 81,483.72, 122,220.12 and 22,319.88

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Solution

The fourth proportional to 81,483.72, 122,220.12 and 22,319.88 is: 33,478.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,483.72 : 122,220.12 = 22,319.88 : x
  2. Step 2: Convert to fraction form
    81,483.72/122,220.12 = 22,319.88/x
  3. Step 3: Cross multiply
    81,483.72x = 122,220.12 × 22,319.88
  4. Step 4: Simplify right side
    81,483.72x = 2,727,938,411.99
  5. Step 5: Solve for x
    x = 2,727,938,411.99/81,483.72
  6. Step 6: Final answer
    x = 33,478.32

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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.