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Finding the Fourth Proportional to 207,841.21, 286,815.17 and 117,196.45

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Solution

The fourth proportional to 207,841.21, 286,815.17 and 117,196.45 is: 161,727.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,841.21 : 286,815.17 = 117,196.45 : x
  2. Step 2: Convert to fraction form
    207,841.21/286,815.17 = 117,196.45/x
  3. Step 3: Cross multiply
    207,841.21x = 286,815.17 × 117,196.45
  4. Step 4: Simplify right side
    207,841.21x = 33,613,719,306.10
  5. Step 5: Solve for x
    x = 33,613,719,306.10/207,841.21
  6. Step 6: Final answer
    x = 161,727.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.