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Finding the Fourth Proportional to 253,669.56, 380,504.34 and 66,680.76

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Solution

The fourth proportional to 253,669.56, 380,504.34 and 66,680.76 is: 100,021.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,669.56 : 380,504.34 = 66,680.76 : x
  2. Step 2: Convert to fraction form
    253,669.56/380,504.34 = 66,680.76/x
  3. Step 3: Cross multiply
    253,669.56x = 380,504.34 × 66,680.76
  4. Step 4: Simplify right side
    253,669.56x = 25,372,318,574.50
  5. Step 5: Solve for x
    x = 25,372,318,574.50/253,669.56
  6. Step 6: Final answer
    x = 100,021.14

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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.