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Finding the Fourth Proportional to 201,834, 278,530.92 and 112,410

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Solution

The fourth proportional to 201,834, 278,530.92 and 112,410 is: 155,125.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,834 : 278,530.92 = 112,410 : x
  2. Step 2: Convert to fraction form
    201,834/278,530.92 = 112,410/x
  3. Step 3: Cross multiply
    201,834x = 278,530.92 × 112,410
  4. Step 4: Simplify right side
    201,834x = 31,309,660,717.20
  5. Step 5: Solve for x
    x = 31,309,660,717.20/201,834
  6. Step 6: Final answer
    x = 155,125.80

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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.