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Finding the Fourth Proportional to 115,200, 158,976 and 62,208

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Solution

The fourth proportional to 115,200, 158,976 and 62,208 is: 85,847.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,200 : 158,976 = 62,208 : x
  2. Step 2: Convert to fraction form
    115,200/158,976 = 62,208/x
  3. Step 3: Cross multiply
    115,200x = 158,976 × 62,208
  4. Step 4: Simplify right side
    115,200x = 9,889,579,008
  5. Step 5: Solve for x
    x = 9,889,579,008/115,200
  6. Step 6: Final answer
    x = 85,847.04

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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.