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Finding the Fourth Proportional to 201,691.80, 302,537.70 and 113,218.20

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Solution

The fourth proportional to 201,691.80, 302,537.70 and 113,218.20 is: 169,827.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,691.80 : 302,537.70 = 113,218.20 : x
  2. Step 2: Convert to fraction form
    201,691.80/302,537.70 = 113,218.20/x
  3. Step 3: Cross multiply
    201,691.80x = 302,537.70 × 113,218.20
  4. Step 4: Simplify right side
    201,691.80x = 34,252,773,826.14
  5. Step 5: Solve for x
    x = 34,252,773,826.14/201,691.80
  6. Step 6: Final answer
    x = 169,827.30

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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.