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Finding the Fourth Proportional to 165,758.98, 228,546.56 and 128,975.80

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Solution

The fourth proportional to 165,758.98, 228,546.56 and 128,975.80 is: 177,830.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,758.98 : 228,546.56 = 128,975.80 : x
  2. Step 2: Convert to fraction form
    165,758.98/228,546.56 = 128,975.80/x
  3. Step 3: Cross multiply
    165,758.98x = 228,546.56 × 128,975.80
  4. Step 4: Simplify right side
    165,758.98x = 29,476,975,413.25
  5. Step 5: Solve for x
    x = 29,476,975,413.25/165,758.98
  6. Step 6: Final answer
    x = 177,830.34

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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.