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Finding the Fourth Proportional to 251,335.96, 346,834.83 and 138,157.90

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Solution

The fourth proportional to 251,335.96, 346,834.83 and 138,157.90 is: 190,653.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,335.96 : 346,834.83 = 138,157.90 : x
  2. Step 2: Convert to fraction form
    251,335.96/346,834.83 = 138,157.90/x
  3. Step 3: Cross multiply
    251,335.96x = 346,834.83 × 138,157.90
  4. Step 4: Simplify right side
    251,335.96x = 47,917,970,025.48
  5. Step 5: Solve for x
    x = 47,917,970,025.48/251,335.96
  6. Step 6: Final answer
    x = 190,653.06

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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.