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Finding the Fourth Proportional to 165,361.52, 228,197.28 and 89,910

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Solution

The fourth proportional to 165,361.52, 228,197.28 and 89,910 is: 124,074.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,361.52 : 228,197.28 = 89,910 : x
  2. Step 2: Convert to fraction form
    165,361.52/228,197.28 = 89,910/x
  3. Step 3: Cross multiply
    165,361.52x = 228,197.28 × 89,910
  4. Step 4: Simplify right side
    165,361.52x = 20,517,217,444.80
  5. Step 5: Solve for x
    x = 20,517,217,444.80/165,361.52
  6. Step 6: Final answer
    x = 124,074.92

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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.