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Finding the Fourth Proportional to 81,698.64, 122,544 and 25,538.28

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Solution

The fourth proportional to 81,698.64, 122,544 and 25,538.28 is: 38,306.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,698.64 : 122,544 = 25,538.28 : x
  2. Step 2: Convert to fraction form
    81,698.64/122,544 = 25,538.28/x
  3. Step 3: Cross multiply
    81,698.64x = 122,544 × 25,538.28
  4. Step 4: Simplify right side
    81,698.64x = 3,129,562,984.32
  5. Step 5: Solve for x
    x = 3,129,562,984.32/81,698.64
  6. Step 6: Final answer
    x = 38,306.18

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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.