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Finding the Fourth Proportional to 182,138.76, 273,142.53 and 76,965.96

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Solution

The fourth proportional to 182,138.76, 273,142.53 and 76,965.96 is: 115,421.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,138.76 : 273,142.53 = 76,965.96 : x
  2. Step 2: Convert to fraction form
    182,138.76/273,142.53 = 76,965.96/x
  3. Step 3: Cross multiply
    182,138.76x = 273,142.53 × 76,965.96
  4. Step 4: Simplify right side
    182,138.76x = 21,022,677,038.28
  5. Step 5: Solve for x
    x = 21,022,677,038.28/182,138.76
  6. Step 6: Final answer
    x = 115,421.22

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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.