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Finding the Fourth Proportional to 202,912.25, 280,019.87 and 113,488.25

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Solution

The fourth proportional to 202,912.25, 280,019.87 and 113,488.25 is: 156,614.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,912.25 : 280,019.87 = 113,488.25 : x
  2. Step 2: Convert to fraction form
    202,912.25/280,019.87 = 113,488.25/x
  3. Step 3: Cross multiply
    202,912.25x = 280,019.87 × 113,488.25
  4. Step 4: Simplify right side
    202,912.25x = 31,778,964,444.09
  5. Step 5: Solve for x
    x = 31,778,964,444.09/202,912.25
  6. Step 6: Final answer
    x = 156,614.32

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1.5x scale

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.