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Finding the Fourth Proportional to 117,638.60, 176,198.70 and 82,387.40

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Solution

The fourth proportional to 117,638.60, 176,198.70 and 82,387.40 is: 123,399.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,638.60 : 176,198.70 = 82,387.40 : x
  2. Step 2: Convert to fraction form
    117,638.60/176,198.70 = 82,387.40/x
  3. Step 3: Cross multiply
    117,638.60x = 176,198.70 × 82,387.40
  4. Step 4: Simplify right side
    117,638.60x = 14,516,552,776.38
  5. Step 5: Solve for x
    x = 14,516,552,776.38/117,638.60
  6. Step 6: Final answer
    x = 123,399.57

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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.