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Finding the Fourth Proportional to 201,405.18, 277,940.90 and 109,524.78

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Solution

The fourth proportional to 201,405.18, 277,940.90 and 109,524.78 is: 151,145.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,405.18 : 277,940.90 = 109,524.78 : x
  2. Step 2: Convert to fraction form
    201,405.18/277,940.90 = 109,524.78/x
  3. Step 3: Cross multiply
    201,405.18x = 277,940.90 × 109,524.78
  4. Step 4: Simplify right side
    201,405.18x = 30,441,415,925.50
  5. Step 5: Solve for x
    x = 30,441,415,925.50/201,405.18
  6. Step 6: Final answer
    x = 151,145.15

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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.