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Finding the Fourth Proportional to 165,589.50, 228,513.54 and 90,138

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Solution

The fourth proportional to 165,589.50, 228,513.54 and 90,138 is: 124,390.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,589.50 : 228,513.54 = 90,138 : x
  2. Step 2: Convert to fraction form
    165,589.50/228,513.54 = 90,138/x
  3. Step 3: Cross multiply
    165,589.50x = 228,513.54 × 90,138
  4. Step 4: Simplify right side
    165,589.50x = 20,597,753,468.52
  5. Step 5: Solve for x
    x = 20,597,753,468.52/165,589.50
  6. Step 6: Final answer
    x = 124,390.46

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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.