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Finding the Fourth Proportional to 251,874.23, 347,585.88 and 137,151.09

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Solution

The fourth proportional to 251,874.23, 347,585.88 and 137,151.09 is: 189,268.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,874.23 : 347,585.88 = 137,151.09 : x
  2. Step 2: Convert to fraction form
    251,874.23/347,585.88 = 137,151.09/x
  3. Step 3: Cross multiply
    251,874.23x = 347,585.88 × 137,151.09
  4. Step 4: Simplify right side
    251,874.23x = 47,671,782,824.93
  5. Step 5: Solve for x
    x = 47,671,782,824.93/251,874.23
  6. Step 6: Final answer
    x = 189,268.21

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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.