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Finding the Fourth Proportional to 254,023.14, 381,209.67 and 87,811.14

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Solution

The fourth proportional to 254,023.14, 381,209.67 and 87,811.14 is: 131,777.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,023.14 : 381,209.67 = 87,811.14 : x
  2. Step 2: Convert to fraction form
    254,023.14/381,209.67 = 87,811.14/x
  3. Step 3: Cross multiply
    254,023.14x = 381,209.67 × 87,811.14
  4. Step 4: Simplify right side
    254,023.14x = 33,474,455,701.72
  5. Step 5: Solve for x
    x = 33,474,455,701.72/254,023.14
  6. Step 6: Final answer
    x = 131,777.19

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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.