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Finding the Fourth Proportional to 253,509.90, 380,245.05 and 66,516.54

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Solution

The fourth proportional to 253,509.90, 380,245.05 and 66,516.54 is: 99,769.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,509.90 : 380,245.05 = 66,516.54 : x
  2. Step 2: Convert to fraction form
    253,509.90/380,245.05 = 66,516.54/x
  3. Step 3: Cross multiply
    253,509.90x = 380,245.05 × 66,516.54
  4. Step 4: Simplify right side
    253,509.90x = 25,292,585,078.13
  5. Step 5: Solve for x
    x = 25,292,585,078.13/253,509.90
  6. Step 6: Final answer
    x = 99,769.61

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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.