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Finding the Fourth Proportional to 235,172.96, 324,414.30 and 148,979.90

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Solution

The fourth proportional to 235,172.96, 324,414.30 and 148,979.90 is: 205,513.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,172.96 : 324,414.30 = 148,979.90 : x
  2. Step 2: Convert to fraction form
    235,172.96/324,414.30 = 148,979.90/x
  3. Step 3: Cross multiply
    235,172.96x = 324,414.30 × 148,979.90
  4. Step 4: Simplify right side
    235,172.96x = 48,331,209,972.57
  5. Step 5: Solve for x
    x = 48,331,209,972.57/235,172.96
  6. Step 6: Final answer
    x = 205,513.47

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Why These Related Problems?

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