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Finding the Fourth Proportional to 201,908.50, 278,639.50 and 112,490.26

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Solution

The fourth proportional to 201,908.50, 278,639.50 and 112,490.26 is: 155,239.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,908.50 : 278,639.50 = 112,490.26 : x
  2. Step 2: Convert to fraction form
    201,908.50/278,639.50 = 112,490.26/x
  3. Step 3: Cross multiply
    201,908.50x = 278,639.50 × 112,490.26
  4. Step 4: Simplify right side
    201,908.50x = 31,344,229,801.27
  5. Step 5: Solve for x
    x = 31,344,229,801.27/201,908.50
  6. Step 6: Final answer
    x = 155,239.77

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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.