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Finding the Fourth Proportional to 120,668.78, 181,003.77 and 49,630.16

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Solution

The fourth proportional to 120,668.78, 181,003.77 and 49,630.16 is: 74,445.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,668.78 : 181,003.77 = 49,630.16 : x
  2. Step 2: Convert to fraction form
    120,668.78/181,003.77 = 49,630.16/x
  3. Step 3: Cross multiply
    120,668.78x = 181,003.77 × 49,630.16
  4. Step 4: Simplify right side
    120,668.78x = 8,983,246,065.70
  5. Step 5: Solve for x
    x = 8,983,246,065.70/120,668.78
  6. Step 6: Final answer
    x = 74,445.49

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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.