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Finding the Fourth Proportional to 251,992.74, 347,749.92 and 138,815.46

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Solution

The fourth proportional to 251,992.74, 347,749.92 and 138,815.46 is: 191,565.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,992.74 : 347,749.92 = 138,815.46 : x
  2. Step 2: Convert to fraction form
    251,992.74/347,749.92 = 138,815.46/x
  3. Step 3: Cross multiply
    251,992.74x = 347,749.92 × 138,815.46
  4. Step 4: Simplify right side
    251,992.74x = 48,273,065,109.76
  5. Step 5: Solve for x
    x = 48,273,065,109.76/251,992.74
  6. Step 6: Final answer
    x = 191,565.30

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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.