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Finding the Fourth Proportional to 253,937.60, 380,932.32 and 87,704

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Solution

The fourth proportional to 253,937.60, 380,932.32 and 87,704 is: 131,564.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,937.60 : 380,932.32 = 87,704 : x
  2. Step 2: Convert to fraction form
    253,937.60/380,932.32 = 87,704/x
  3. Step 3: Cross multiply
    253,937.60x = 380,932.32 × 87,704
  4. Step 4: Simplify right side
    253,937.60x = 33,409,288,193.28
  5. Step 5: Solve for x
    x = 33,409,288,193.28/253,937.60
  6. Step 6: Final answer
    x = 131,564.95

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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.