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Finding the Fourth Proportional to 201,392.28, 277,916.80 and 109,509.56

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Solution

The fourth proportional to 201,392.28, 277,916.80 and 109,509.56 is: 151,120.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,392.28 : 277,916.80 = 109,509.56 : x
  2. Step 2: Convert to fraction form
    201,392.28/277,916.80 = 109,509.56/x
  3. Step 3: Cross multiply
    201,392.28x = 277,916.80 × 109,509.56
  4. Step 4: Simplify right side
    201,392.28x = 30,434,546,484.61
  5. Step 5: Solve for x
    x = 30,434,546,484.61/201,392.28
  6. Step 6: Final answer
    x = 151,120.72

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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.