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Finding the Fourth Proportional to 201,251.48, 301,931.67 and 68,131.76

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Solution

The fourth proportional to 201,251.48, 301,931.67 and 68,131.76 is: 102,216.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,251.48 : 301,931.67 = 68,131.76 : x
  2. Step 2: Convert to fraction form
    201,251.48/301,931.67 = 68,131.76/x
  3. Step 3: Cross multiply
    201,251.48x = 301,931.67 × 68,131.76
  4. Step 4: Simplify right side
    201,251.48x = 20,571,134,567.18
  5. Step 5: Solve for x
    x = 20,571,134,567.18/201,251.48
  6. Step 6: Final answer
    x = 102,216.06

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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.