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Finding the Fourth Proportional to 108,137.84, 149,017.56 and 82,672.96

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Solution

The fourth proportional to 108,137.84, 149,017.56 and 82,672.96 is: 113,926.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,137.84 : 149,017.56 = 82,672.96 : x
  2. Step 2: Convert to fraction form
    108,137.84/149,017.56 = 82,672.96/x
  3. Step 3: Cross multiply
    108,137.84x = 149,017.56 × 82,672.96
  4. Step 4: Simplify right side
    108,137.84x = 12,319,722,777.18
  5. Step 5: Solve for x
    x = 12,319,722,777.18/108,137.84
  6. Step 6: Final answer
    x = 113,926.10

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1.5x scale

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.