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Finding the Fourth Proportional to 254,094.32, 381,369.92 and 135,866.72

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Solution

The fourth proportional to 254,094.32, 381,369.92 and 135,866.72 is: 203,922.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,094.32 : 381,369.92 = 135,866.72 : x
  2. Step 2: Convert to fraction form
    254,094.32/381,369.92 = 135,866.72/x
  3. Step 3: Cross multiply
    254,094.32x = 381,369.92 × 135,866.72
  4. Step 4: Simplify right side
    254,094.32x = 51,815,480,137.06
  5. Step 5: Solve for x
    x = 51,815,480,137.06/254,094.32
  6. Step 6: Final answer
    x = 203,922.23

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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.