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Finding the Fourth Proportional to 123,824, 170,872.52 and 67,234.16

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Solution

The fourth proportional to 123,824, 170,872.52 and 67,234.16 is: 92,780.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,824 : 170,872.52 = 67,234.16 : x
  2. Step 2: Convert to fraction form
    123,824/170,872.52 = 67,234.16/x
  3. Step 3: Cross multiply
    123,824x = 170,872.52 × 67,234.16
  4. Step 4: Simplify right side
    123,824x = 11,488,470,349.28
  5. Step 5: Solve for x
    x = 11,488,470,349.28/123,824
  6. Step 6: Final answer
    x = 92,780.64

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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.