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Finding the Fourth Proportional to 183,454.89, 274,747.31 and 145,381.74

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Solution

The fourth proportional to 183,454.89, 274,747.31 and 145,381.74 is: 217,727.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,454.89 : 274,747.31 = 145,381.74 : x
  2. Step 2: Convert to fraction form
    183,454.89/274,747.31 = 145,381.74/x
  3. Step 3: Cross multiply
    183,454.89x = 274,747.31 × 145,381.74
  4. Step 4: Simplify right side
    183,454.89x = 39,943,241,988.12
  5. Step 5: Solve for x
    x = 39,943,241,988.12/183,454.89
  6. Step 6: Final answer
    x = 217,727.87

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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.