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Finding the Fourth Proportional to 251,967.84, 347,583.24 and 149,920.80

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Solution

The fourth proportional to 251,967.84, 347,583.24 and 149,920.80 is: 206,811.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,967.84 : 347,583.24 = 149,920.80 : x
  2. Step 2: Convert to fraction form
    251,967.84/347,583.24 = 149,920.80/x
  3. Step 3: Cross multiply
    251,967.84x = 347,583.24 × 149,920.80
  4. Step 4: Simplify right side
    251,967.84x = 52,109,957,407.39
  5. Step 5: Solve for x
    x = 52,109,957,407.39/251,967.84
  6. Step 6: Final answer
    x = 206,811.94

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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.