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Finding the Fourth Proportional to 251,596, 347,202.48 and 138,416.32

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Solution

The fourth proportional to 251,596, 347,202.48 and 138,416.32 is: 191,014.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,596 : 347,202.48 = 138,416.32 : x
  2. Step 2: Convert to fraction form
    251,596/347,202.48 = 138,416.32/x
  3. Step 3: Cross multiply
    251,596x = 347,202.48 × 138,416.32
  4. Step 4: Simplify right side
    251,596x = 48,058,489,576.47
  5. Step 5: Solve for x
    x = 48,058,489,576.47/251,596
  6. Step 6: Final answer
    x = 191,014.52

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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.