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Finding the Fourth Proportional to 167,111.92, 250,656.12 and 78,384.88

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Solution

The fourth proportional to 167,111.92, 250,656.12 and 78,384.88 is: 117,571.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,111.92 : 250,656.12 = 78,384.88 : x
  2. Step 2: Convert to fraction form
    167,111.92/250,656.12 = 78,384.88/x
  3. Step 3: Cross multiply
    167,111.92x = 250,656.12 × 78,384.88
  4. Step 4: Simplify right side
    167,111.92x = 19,647,649,887.47
  5. Step 5: Solve for x
    x = 19,647,649,887.47/167,111.92
  6. Step 6: Final answer
    x = 117,571.80

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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.