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Finding the Fourth Proportional to 132,790, 199,214.16 and 49,684

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Solution

The fourth proportional to 132,790, 199,214.16 and 49,684 is: 74,536.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,790 : 199,214.16 = 49,684 : x
  2. Step 2: Convert to fraction form
    132,790/199,214.16 = 49,684/x
  3. Step 3: Cross multiply
    132,790x = 199,214.16 × 49,684
  4. Step 4: Simplify right side
    132,790x = 9,897,756,325.44
  5. Step 5: Solve for x
    x = 9,897,756,325.44/132,790
  6. Step 6: Final answer
    x = 74,536.91

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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.