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Finding the Fourth Proportional to 165,576, 228,494.88 and 90,125.04

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Solution

The fourth proportional to 165,576, 228,494.88 and 90,125.04 is: 124,372.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,576 : 228,494.88 = 90,125.04 : x
  2. Step 2: Convert to fraction form
    165,576/228,494.88 = 90,125.04/x
  3. Step 3: Cross multiply
    165,576x = 228,494.88 × 90,125.04
  4. Step 4: Simplify right side
    165,576x = 20,593,110,199.80
  5. Step 5: Solve for x
    x = 20,593,110,199.80/165,576
  6. Step 6: Final answer
    x = 124,372.56

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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.