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Finding the Fourth Proportional to 253,734.32, 380,607.64 and 85,257.06

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Solution

The fourth proportional to 253,734.32, 380,607.64 and 85,257.06 is: 127,887.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,734.32 : 380,607.64 = 85,257.06 : x
  2. Step 2: Convert to fraction form
    253,734.32/380,607.64 = 85,257.06/x
  3. Step 3: Cross multiply
    253,734.32x = 380,607.64 × 85,257.06
  4. Step 4: Simplify right side
    253,734.32x = 32,449,488,399.94
  5. Step 5: Solve for x
    x = 32,449,488,399.94/253,734.32
  6. Step 6: Final answer
    x = 127,887.66

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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.