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Finding the Fourth Proportional to 149,432, 206,214.84 and 81,448.96

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Solution

The fourth proportional to 149,432, 206,214.84 and 81,448.96 is: 112,398.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,432 : 206,214.84 = 81,448.96 : x
  2. Step 2: Convert to fraction form
    149,432/206,214.84 = 81,448.96/x
  3. Step 3: Cross multiply
    149,432x = 206,214.84 × 81,448.96
  4. Step 4: Simplify right side
    149,432x = 16,795,984,254.57
  5. Step 5: Solve for x
    x = 16,795,984,254.57/149,432
  6. Step 6: Final answer
    x = 112,398.85

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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.