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Finding the Fourth Proportional to 81,808.25, 122,698.70 and 22,649.90

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Solution

The fourth proportional to 81,808.25, 122,698.70 and 22,649.90 is: 33,971.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,808.25 : 122,698.70 = 22,649.90 : x
  2. Step 2: Convert to fraction form
    81,808.25/122,698.70 = 22,649.90/x
  3. Step 3: Cross multiply
    81,808.25x = 122,698.70 × 22,649.90
  4. Step 4: Simplify right side
    81,808.25x = 2,779,112,643.32
  5. Step 5: Solve for x
    x = 2,779,112,643.32/81,808.25
  6. Step 6: Final answer
    x = 33,971.06

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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.