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Finding the Fourth Proportional to 81,699.47, 122,534.48 and 22,520.47

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Solution

The fourth proportional to 81,699.47, 122,534.48 and 22,520.47 is: 33,776.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,699.47 : 122,534.48 = 22,520.47 : x
  2. Step 2: Convert to fraction form
    81,699.47/122,534.48 = 22,520.47/x
  3. Step 3: Cross multiply
    81,699.47x = 122,534.48 × 22,520.47
  4. Step 4: Simplify right side
    81,699.47x = 2,759,534,080.81
  5. Step 5: Solve for x
    x = 2,759,534,080.81/81,699.47
  6. Step 6: Final answer
    x = 33,776.65

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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.