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Finding the Fourth Proportional to 148,160, 204,462.24 and 81,093.44

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Solution

The fourth proportional to 148,160, 204,462.24 and 81,093.44 is: 111,909.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,160 : 204,462.24 = 81,093.44 : x
  2. Step 2: Convert to fraction form
    148,160/204,462.24 = 81,093.44/x
  3. Step 3: Cross multiply
    148,160x = 204,462.24 × 81,093.44
  4. Step 4: Simplify right side
    148,160x = 16,580,546,391.71
  5. Step 5: Solve for x
    x = 16,580,546,391.71/148,160
  6. Step 6: Final answer
    x = 111,909.74

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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.