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Finding the Fourth Proportional to 253,713.05, 380,644.29 and 76,247.11

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Solution

The fourth proportional to 253,713.05, 380,644.29 and 76,247.11 is: 114,393.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,713.05 : 380,644.29 = 76,247.11 : x
  2. Step 2: Convert to fraction form
    253,713.05/380,644.29 = 76,247.11/x
  3. Step 3: Cross multiply
    253,713.05x = 380,644.29 × 76,247.11
  4. Step 4: Simplify right side
    253,713.05x = 29,023,027,050.50
  5. Step 5: Solve for x
    x = 29,023,027,050.50/253,713.05
  6. Step 6: Final answer
    x = 114,393.12

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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.