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Finding the Fourth Proportional to 125,221.48, 172,751.34 and 82,839.04

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Solution

The fourth proportional to 125,221.48, 172,751.34 and 82,839.04 is: 114,281.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    125,221.48 : 172,751.34 = 82,839.04 : x
  2. Step 2: Convert to fraction form
    125,221.48/172,751.34 = 82,839.04/x
  3. Step 3: Cross multiply
    125,221.48x = 172,751.34 × 82,839.04
  4. Step 4: Simplify right side
    125,221.48x = 14,310,555,164.31
  5. Step 5: Solve for x
    x = 14,310,555,164.31/125,221.48
  6. Step 6: Final answer
    x = 114,281.95

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.