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Finding the Fourth Proportional to 201,742.30, 302,540.55 and 81,748.90

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Solution

The fourth proportional to 201,742.30, 302,540.55 and 81,748.90 is: 122,593.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,742.30 : 302,540.55 = 81,748.90 : x
  2. Step 2: Convert to fraction form
    201,742.30/302,540.55 = 81,748.90/x
  3. Step 3: Cross multiply
    201,742.30x = 302,540.55 × 81,748.90
  4. Step 4: Simplify right side
    201,742.30x = 24,732,357,167.90
  5. Step 5: Solve for x
    x = 24,732,357,167.90/201,742.30
  6. Step 6: Final answer
    x = 122,593.81

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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.