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Finding the Fourth Proportional to 251,643, 347,269.77 and 138,468.18

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Solution

The fourth proportional to 251,643, 347,269.77 and 138,468.18 is: 191,087.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,643 : 347,269.77 = 138,468.18 : x
  2. Step 2: Convert to fraction form
    251,643/347,269.77 = 138,468.18/x
  3. Step 3: Cross multiply
    251,643x = 347,269.77 × 138,468.18
  4. Step 4: Simplify right side
    251,643x = 48,085,813,020.92
  5. Step 5: Solve for x
    x = 48,085,813,020.92/251,643
  6. Step 6: Final answer
    x = 191,087.43

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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.