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Finding the Fourth Proportional to 251,469.83, 347,021.45 and 138,292.58

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Solution

The fourth proportional to 251,469.83, 347,021.45 and 138,292.58 is: 190,839.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,469.83 : 347,021.45 = 138,292.58 : x
  2. Step 2: Convert to fraction form
    251,469.83/347,021.45 = 138,292.58/x
  3. Step 3: Cross multiply
    251,469.83x = 347,021.45 × 138,292.58
  4. Step 4: Simplify right side
    251,469.83x = 47,990,492,330.53
  5. Step 5: Solve for x
    x = 47,990,492,330.53/251,469.83
  6. Step 6: Final answer
    x = 190,839.96

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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.