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Finding the Fourth Proportional to 136,478.40, 204,928.80 and 74,270.40

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Solution

The fourth proportional to 136,478.40, 204,928.80 and 74,270.40 is: 111,520.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,478.40 : 204,928.80 = 74,270.40 : x
  2. Step 2: Convert to fraction form
    136,478.40/204,928.80 = 74,270.40/x
  3. Step 3: Cross multiply
    136,478.40x = 204,928.80 × 74,270.40
  4. Step 4: Simplify right side
    136,478.40x = 15,220,143,947.52
  5. Step 5: Solve for x
    x = 15,220,143,947.52/136,478.40
  6. Step 6: Final answer
    x = 111,520.53

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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.