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Finding the Fourth Proportional to 204,969.60, 307,454.40 and 125,827.20

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Solution

The fourth proportional to 204,969.60, 307,454.40 and 125,827.20 is: 188,740.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,969.60 : 307,454.40 = 125,827.20 : x
  2. Step 2: Convert to fraction form
    204,969.60/307,454.40 = 125,827.20/x
  3. Step 3: Cross multiply
    204,969.60x = 307,454.40 × 125,827.20
  4. Step 4: Simplify right side
    204,969.60x = 38,686,126,279.68
  5. Step 5: Solve for x
    x = 38,686,126,279.68/204,969.60
  6. Step 6: Final answer
    x = 188,740.80

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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.