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Finding the Fourth Proportional to 149,657.73, 206,532 and 81,679.07

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Solution

The fourth proportional to 149,657.73, 206,532 and 81,679.07 is: 112,719.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,657.73 : 206,532 = 81,679.07 : x
  2. Step 2: Convert to fraction form
    149,657.73/206,532 = 81,679.07/x
  3. Step 3: Cross multiply
    149,657.73x = 206,532 × 81,679.07
  4. Step 4: Simplify right side
    149,657.73x = 16,869,340,652.58
  5. Step 5: Solve for x
    x = 16,869,340,652.58/149,657.73
  6. Step 6: Final answer
    x = 112,719.47

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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.