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Finding the Fourth Proportional to 201,428.18, 277,972.74 and 109,548.32

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Solution

The fourth proportional to 201,428.18, 277,972.74 and 109,548.32 is: 151,177.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,428.18 : 277,972.74 = 109,548.32 : x
  2. Step 2: Convert to fraction form
    201,428.18/277,972.74 = 109,548.32/x
  3. Step 3: Cross multiply
    201,428.18x = 277,972.74 × 109,548.32
  4. Step 4: Simplify right side
    201,428.18x = 30,451,446,672.80
  5. Step 5: Solve for x
    x = 30,451,446,672.80/201,428.18
  6. Step 6: Final answer
    x = 151,177.69

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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.