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Finding the Fourth Proportional to 81,695.64, 122,547.48 and 22,530

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Solution

The fourth proportional to 81,695.64, 122,547.48 and 22,530 is: 33,796.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,695.64 : 122,547.48 = 22,530 : x
  2. Step 2: Convert to fraction form
    81,695.64/122,547.48 = 22,530/x
  3. Step 3: Cross multiply
    81,695.64x = 122,547.48 × 22,530
  4. Step 4: Simplify right side
    81,695.64x = 2,760,994,724.40
  5. Step 5: Solve for x
    x = 2,760,994,724.40/81,695.64
  6. Step 6: Final answer
    x = 33,796.11

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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.