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Finding the Fourth Proportional to 202,439.40, 303,877.80 and 113,865.90

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Solution

The fourth proportional to 202,439.40, 303,877.80 and 113,865.90 is: 170,921.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,439.40 : 303,877.80 = 113,865.90 : x
  2. Step 2: Convert to fraction form
    202,439.40/303,877.80 = 113,865.90/x
  3. Step 3: Cross multiply
    202,439.40x = 303,877.80 × 113,865.90
  4. Step 4: Simplify right side
    202,439.40x = 34,601,319,187.02
  5. Step 5: Solve for x
    x = 34,601,319,187.02/202,439.40
  6. Step 6: Final answer
    x = 170,921.86

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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.