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Finding the Fourth Proportional to 269,228.68, 403,765.24 and 91,731.76

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Solution

The fourth proportional to 269,228.68, 403,765.24 and 91,731.76 is: 137,571.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,228.68 : 403,765.24 = 91,731.76 : x
  2. Step 2: Convert to fraction form
    269,228.68/403,765.24 = 91,731.76/x
  3. Step 3: Cross multiply
    269,228.68x = 403,765.24 × 91,731.76
  4. Step 4: Simplify right side
    269,228.68x = 37,038,096,092.02
  5. Step 5: Solve for x
    x = 37,038,096,092.02/269,228.68
  6. Step 6: Final answer
    x = 137,571.14

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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.