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Finding the Fourth Proportional to 251,833.86, 347,530.10 and 138,656.61

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Solution

The fourth proportional to 251,833.86, 347,530.10 and 138,656.61 is: 191,345.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,833.86 : 347,530.10 = 138,656.61 : x
  2. Step 2: Convert to fraction form
    251,833.86/347,530.10 = 138,656.61/x
  3. Step 3: Cross multiply
    251,833.86x = 347,530.10 × 138,656.61
  4. Step 4: Simplify right side
    251,833.86x = 48,187,344,845.68
  5. Step 5: Solve for x
    x = 48,187,344,845.68/251,833.86
  6. Step 6: Final answer
    x = 191,345.77

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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.