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Finding the Fourth Proportional to 201,218.80, 277,680.32 and 109,337.28

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Solution

The fourth proportional to 201,218.80, 277,680.32 and 109,337.28 is: 150,884.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,218.80 : 277,680.32 = 109,337.28 : x
  2. Step 2: Convert to fraction form
    201,218.80/277,680.32 = 109,337.28/x
  3. Step 3: Cross multiply
    201,218.80x = 277,680.32 × 109,337.28
  4. Step 4: Simplify right side
    201,218.80x = 30,360,810,898.33
  5. Step 5: Solve for x
    x = 30,360,810,898.33/201,218.80
  6. Step 6: Final answer
    x = 150,884.56

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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.