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Finding the Fourth Proportional to 254,080.32, 381,178.08 and 87,869.76

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Solution

The fourth proportional to 254,080.32, 381,178.08 and 87,869.76 is: 131,824.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,080.32 : 381,178.08 = 87,869.76 : x
  2. Step 2: Convert to fraction form
    254,080.32/381,178.08 = 87,869.76/x
  3. Step 3: Cross multiply
    254,080.32x = 381,178.08 × 87,869.76
  4. Step 4: Simplify right side
    254,080.32x = 33,494,026,406.86
  5. Step 5: Solve for x
    x = 33,494,026,406.86/254,080.32
  6. Step 6: Final answer
    x = 131,824.56

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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.