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Finding the Fourth Proportional to 201,538.71, 302,298.13 and 75,169.13

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Solution

The fourth proportional to 201,538.71, 302,298.13 and 75,169.13 is: 112,749.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,538.71 : 302,298.13 = 75,169.13 : x
  2. Step 2: Convert to fraction form
    201,538.71/302,298.13 = 75,169.13/x
  3. Step 3: Cross multiply
    201,538.71x = 302,298.13 × 75,169.13
  4. Step 4: Simplify right side
    201,538.71x = 22,723,486,493.16
  5. Step 5: Solve for x
    x = 22,723,486,493.16/201,538.71
  6. Step 6: Final answer
    x = 112,749.98

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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.