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Finding the Fourth Proportional to 123,886.20, 186,218.10 and 116,887.80

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Solution

The fourth proportional to 123,886.20, 186,218.10 and 116,887.80 is: 175,698.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,886.20 : 186,218.10 = 116,887.80 : x
  2. Step 2: Convert to fraction form
    123,886.20/186,218.10 = 116,887.80/x
  3. Step 3: Cross multiply
    123,886.20x = 186,218.10 × 116,887.80
  4. Step 4: Simplify right side
    123,886.20x = 21,766,624,029.18
  5. Step 5: Solve for x
    x = 21,766,624,029.18/123,886.20
  6. Step 6: Final answer
    x = 175,698.54

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.