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Finding the Fourth Proportional to 251,469.40, 347,020.85 and 138,292.15

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Solution

The fourth proportional to 251,469.40, 347,020.85 and 138,292.15 is: 190,839.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,469.40 : 347,020.85 = 138,292.15 : x
  2. Step 2: Convert to fraction form
    251,469.40/347,020.85 = 138,292.15/x
  3. Step 3: Cross multiply
    251,469.40x = 347,020.85 × 138,292.15
  4. Step 4: Simplify right side
    251,469.40x = 47,990,257,014.76
  5. Step 5: Solve for x
    x = 47,990,257,014.76/251,469.40
  6. Step 6: Final answer
    x = 190,839.35

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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.