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Finding the Fourth Proportional to 251,953.82, 347,690.50 and 137,229.26

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Solution

The fourth proportional to 251,953.82, 347,690.50 and 137,229.26 is: 189,373.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,953.82 : 347,690.50 = 137,229.26 : x
  2. Step 2: Convert to fraction form
    251,953.82/347,690.50 = 137,229.26/x
  3. Step 3: Cross multiply
    251,953.82x = 347,690.50 × 137,229.26
  4. Step 4: Simplify right side
    251,953.82x = 47,713,310,024.03
  5. Step 5: Solve for x
    x = 47,713,310,024.03/251,953.82
  6. Step 6: Final answer
    x = 189,373.24

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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.