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Finding the Fourth Proportional to 158,832, 219,188.16 and 91,764

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Solution

The fourth proportional to 158,832, 219,188.16 and 91,764 is: 126,634.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,832 : 219,188.16 = 91,764 : x
  2. Step 2: Convert to fraction form
    158,832/219,188.16 = 91,764/x
  3. Step 3: Cross multiply
    158,832x = 219,188.16 × 91,764
  4. Step 4: Simplify right side
    158,832x = 20,113,582,314.24
  5. Step 5: Solve for x
    x = 20,113,582,314.24/158,832
  6. Step 6: Final answer
    x = 126,634.32

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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.