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Finding the Fourth Proportional to 254,676.30, 381,735.45 and 128,114.70

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Solution

The fourth proportional to 254,676.30, 381,735.45 and 128,114.70 is: 192,031.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    254,676.30 : 381,735.45 = 128,114.70 : x
  2. Step 2: Convert to fraction form
    254,676.30/381,735.45 = 128,114.70/x
  3. Step 3: Cross multiply
    254,676.30x = 381,735.45 × 128,114.70
  4. Step 4: Simplify right side
    254,676.30x = 48,905,922,656.12
  5. Step 5: Solve for x
    x = 48,905,922,656.12/254,676.30
  6. Step 6: Final answer
    x = 192,031.70

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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.