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Finding the Fourth Proportional to 251,615.40, 347,229.82 and 138,445.40

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Solution

The fourth proportional to 251,615.40, 347,229.82 and 138,445.40 is: 191,054.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,615.40 : 347,229.82 = 138,445.40 : x
  2. Step 2: Convert to fraction form
    251,615.40/347,229.82 = 138,445.40/x
  3. Step 3: Cross multiply
    251,615.40x = 347,229.82 × 138,445.40
  4. Step 4: Simplify right side
    251,615.40x = 48,072,371,321.83
  5. Step 5: Solve for x
    x = 48,072,371,321.83/251,615.40
  6. Step 6: Final answer
    x = 191,054.96

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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.