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Finding the Fourth Proportional to 274,903.60, 412,115.40 and 106,538.80

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Solution

The fourth proportional to 274,903.60, 412,115.40 and 106,538.80 is: 159,715.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,903.60 : 412,115.40 = 106,538.80 : x
  2. Step 2: Convert to fraction form
    274,903.60/412,115.40 = 106,538.80/x
  3. Step 3: Cross multiply
    274,903.60x = 412,115.40 × 106,538.80
  4. Step 4: Simplify right side
    274,903.60x = 43,906,280,177.52
  5. Step 5: Solve for x
    x = 43,906,280,177.52/274,903.60
  6. Step 6: Final answer
    x = 159,715.19

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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.