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Finding the Fourth Proportional to 202,021.35, 278,784.32 and 111,375.20

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Solution

The fourth proportional to 202,021.35, 278,784.32 and 111,375.20 is: 153,694.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,021.35 : 278,784.32 = 111,375.20 : x
  2. Step 2: Convert to fraction form
    202,021.35/278,784.32 = 111,375.20/x
  3. Step 3: Cross multiply
    202,021.35x = 278,784.32 × 111,375.20
  4. Step 4: Simplify right side
    202,021.35x = 31,049,657,446.07
  5. Step 5: Solve for x
    x = 31,049,657,446.07/202,021.35
  6. Step 6: Final answer
    x = 153,694.93

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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.