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Finding the Fourth Proportional to 165,801.50, 228,806.10 and 90,350

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Solution

The fourth proportional to 165,801.50, 228,806.10 and 90,350 is: 124,683.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,801.50 : 228,806.10 = 90,350 : x
  2. Step 2: Convert to fraction form
    165,801.50/228,806.10 = 90,350/x
  3. Step 3: Cross multiply
    165,801.50x = 228,806.10 × 90,350
  4. Step 4: Simplify right side
    165,801.50x = 20,672,631,135
  5. Step 5: Solve for x
    x = 20,672,631,135/165,801.50
  6. Step 6: Final answer
    x = 124,683.02

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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.