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Finding the Fourth Proportional to 230,103.52, 345,170.97 and 78,238.78

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Solution

The fourth proportional to 230,103.52, 345,170.97 and 78,238.78 is: 117,363.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    230,103.52 : 345,170.97 = 78,238.78 : x
  2. Step 2: Convert to fraction form
    230,103.52/345,170.97 = 78,238.78/x
  3. Step 3: Cross multiply
    230,103.52x = 345,170.97 × 78,238.78
  4. Step 4: Simplify right side
    230,103.52x = 27,005,754,721.29
  5. Step 5: Solve for x
    x = 27,005,754,721.29/230,103.52
  6. Step 6: Final answer
    x = 117,363.50

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.