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Finding the Fourth Proportional to 253,580.57, 380,407.95 and 76,101.61

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Solution

The fourth proportional to 253,580.57, 380,407.95 and 76,101.61 is: 114,163.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,580.57 : 380,407.95 = 76,101.61 : x
  2. Step 2: Convert to fraction form
    253,580.57/380,407.95 = 76,101.61/x
  3. Step 3: Cross multiply
    253,580.57x = 380,407.95 × 76,101.61
  4. Step 4: Simplify right side
    253,580.57x = 28,949,656,500.78
  5. Step 5: Solve for x
    x = 28,949,656,500.78/253,580.57
  6. Step 6: Final answer
    x = 114,163.54

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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.