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Finding the Fourth Proportional to 201,172.15, 277,613.10 and 109,289.06

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Solution

The fourth proportional to 201,172.15, 277,613.10 and 109,289.06 is: 150,816.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,172.15 : 277,613.10 = 109,289.06 : x
  2. Step 2: Convert to fraction form
    201,172.15/277,613.10 = 109,289.06/x
  3. Step 3: Cross multiply
    201,172.15x = 277,613.10 × 109,289.06
  4. Step 4: Simplify right side
    201,172.15x = 30,340,073,512.12
  5. Step 5: Solve for x
    x = 30,340,073,512.12/201,172.15
  6. Step 6: Final answer
    x = 150,816.47

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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.