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Finding the Fourth Proportional to 165,496.50, 228,388.82 and 90,045

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Solution

The fourth proportional to 165,496.50, 228,388.82 and 90,045 is: 124,264.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,496.50 : 228,388.82 = 90,045 : x
  2. Step 2: Convert to fraction form
    165,496.50/228,388.82 = 90,045/x
  3. Step 3: Cross multiply
    165,496.50x = 228,388.82 × 90,045
  4. Step 4: Simplify right side
    165,496.50x = 20,565,270,846.68
  5. Step 5: Solve for x
    x = 20,565,270,846.68/165,496.50
  6. Step 6: Final answer
    x = 124,264.08

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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.