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Finding the Fourth Proportional to 201,864, 278,572.44 and 112,440

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Solution

The fourth proportional to 201,864, 278,572.44 and 112,440 is: 155,167.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,864 : 278,572.44 = 112,440 : x
  2. Step 2: Convert to fraction form
    201,864/278,572.44 = 112,440/x
  3. Step 3: Cross multiply
    201,864x = 278,572.44 × 112,440
  4. Step 4: Simplify right side
    201,864x = 31,322,685,153.60
  5. Step 5: Solve for x
    x = 31,322,685,153.60/201,864
  6. Step 6: Final answer
    x = 155,167.27

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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.