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Finding the Fourth Proportional to 251,493.92, 347,062.16 and 138,314.40

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Solution

The fourth proportional to 251,493.92, 347,062.16 and 138,314.40 is: 190,874.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,493.92 : 347,062.16 = 138,314.40 : x
  2. Step 2: Convert to fraction form
    251,493.92/347,062.16 = 138,314.40/x
  3. Step 3: Cross multiply
    251,493.92x = 347,062.16 × 138,314.40
  4. Step 4: Simplify right side
    251,493.92x = 48,003,694,423.10
  5. Step 5: Solve for x
    x = 48,003,694,423.10/251,493.92
  6. Step 6: Final answer
    x = 190,874.17

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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.