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Finding the Fourth Proportional to 186,561, 279,841.50 and 68,167.80

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Solution

The fourth proportional to 186,561, 279,841.50 and 68,167.80 is: 102,251.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    186,561 : 279,841.50 = 68,167.80 : x
  2. Step 2: Convert to fraction form
    186,561/279,841.50 = 68,167.80/x
  3. Step 3: Cross multiply
    186,561x = 279,841.50 × 68,167.80
  4. Step 4: Simplify right side
    186,561x = 19,076,179,403.70
  5. Step 5: Solve for x
    x = 19,076,179,403.70/186,561
  6. Step 6: Final answer
    x = 102,251.70

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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.