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Finding the Fourth Proportional to 149,893.28, 206,855.46 and 81,913.12

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Solution

The fourth proportional to 149,893.28, 206,855.46 and 81,913.12 is: 113,041.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,893.28 : 206,855.46 = 81,913.12 : x
  2. Step 2: Convert to fraction form
    149,893.28/206,855.46 = 81,913.12/x
  3. Step 3: Cross multiply
    149,893.28x = 206,855.46 × 81,913.12
  4. Step 4: Simplify right side
    149,893.28x = 16,944,175,339.86
  5. Step 5: Solve for x
    x = 16,944,175,339.86/149,893.28
  6. Step 6: Final answer
    x = 113,041.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.