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Finding the Fourth Proportional to 202,016.64, 278,770.32 and 111,367.92

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Solution

The fourth proportional to 202,016.64, 278,770.32 and 111,367.92 is: 153,680.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,016.64 : 278,770.32 = 111,367.92 : x
  2. Step 2: Convert to fraction form
    202,016.64/278,770.32 = 111,367.92/x
  3. Step 3: Cross multiply
    202,016.64x = 278,770.32 × 111,367.92
  4. Step 4: Simplify right side
    202,016.64x = 31,046,070,696.13
  5. Step 5: Solve for x
    x = 31,046,070,696.13/202,016.64
  6. Step 6: Final answer
    x = 153,680.76

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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.