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Finding the Fourth Proportional to 254,102.59, 381,112.99 and 74,145.77

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Solution

The fourth proportional to 254,102.59, 381,112.99 and 74,145.77 is: 111,206.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,102.59 : 381,112.99 = 74,145.77 : x
  2. Step 2: Convert to fraction form
    254,102.59/381,112.99 = 74,145.77/x
  3. Step 3: Cross multiply
    254,102.59x = 381,112.99 × 74,145.77
  4. Step 4: Simplify right side
    254,102.59x = 28,257,916,100.55
  5. Step 5: Solve for x
    x = 28,257,916,100.55/254,102.59
  6. Step 6: Final answer
    x = 111,206.72

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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.