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Finding the Fourth Proportional to 253,638.58, 380,495.22 and 76,159.88

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Solution

The fourth proportional to 253,638.58, 380,495.22 and 76,159.88 is: 114,251.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,638.58 : 380,495.22 = 76,159.88 : x
  2. Step 2: Convert to fraction form
    253,638.58/380,495.22 = 76,159.88/x
  3. Step 3: Cross multiply
    253,638.58x = 380,495.22 × 76,159.88
  4. Step 4: Simplify right side
    253,638.58x = 28,978,470,295.77
  5. Step 5: Solve for x
    x = 28,978,470,295.77/253,638.58
  6. Step 6: Final answer
    x = 114,251.04

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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.