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Finding the Fourth Proportional to 165,774.75, 228,769.16 and 90,323.25

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Solution

The fourth proportional to 165,774.75, 228,769.16 and 90,323.25 is: 124,646.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,774.75 : 228,769.16 = 90,323.25 : x
  2. Step 2: Convert to fraction form
    165,774.75/228,769.16 = 90,323.25/x
  3. Step 3: Cross multiply
    165,774.75x = 228,769.16 × 90,323.25
  4. Step 4: Simplify right side
    165,774.75x = 20,663,174,030.97
  5. Step 5: Solve for x
    x = 20,663,174,030.97/165,774.75
  6. Step 6: Final answer
    x = 124,646.09

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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.