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Finding the Fourth Proportional to 165,411, 228,268.26 and 89,960.04

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Solution

The fourth proportional to 165,411, 228,268.26 and 89,960.04 is: 124,145.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,411 : 228,268.26 = 89,960.04 : x
  2. Step 2: Convert to fraction form
    165,411/228,268.26 = 89,960.04/x
  3. Step 3: Cross multiply
    165,411x = 228,268.26 × 89,960.04
  4. Step 4: Simplify right side
    165,411x = 20,535,021,800.33
  5. Step 5: Solve for x
    x = 20,535,021,800.33/165,411
  6. Step 6: Final answer
    x = 124,145.44

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1.5x scale

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.