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Finding the Fourth Proportional to 117,306.40, 176,218.80 and 82,314.40

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Solution

The fourth proportional to 117,306.40, 176,218.80 and 82,314.40 is: 123,653.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,306.40 : 176,218.80 = 82,314.40 : x
  2. Step 2: Convert to fraction form
    117,306.40/176,218.80 = 82,314.40/x
  3. Step 3: Cross multiply
    117,306.40x = 176,218.80 × 82,314.40
  4. Step 4: Simplify right side
    117,306.40x = 14,505,344,790.72
  5. Step 5: Solve for x
    x = 14,505,344,790.72/117,306.40
  6. Step 6: Final answer
    x = 123,653.48

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