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Finding the Fourth Proportional to 186,563, 279,844.50 and 68,169.80

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Solution

The fourth proportional to 186,563, 279,844.50 and 68,169.80 is: 102,254.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,563 : 279,844.50 = 68,169.80 : x
  2. Step 2: Convert to fraction form
    186,563/279,844.50 = 68,169.80/x
  3. Step 3: Cross multiply
    186,563x = 279,844.50 × 68,169.80
  4. Step 4: Simplify right side
    186,563x = 19,076,943,596.10
  5. Step 5: Solve for x
    x = 19,076,943,596.10/186,563
  6. Step 6: Final answer
    x = 102,254.70

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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.