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Finding the Fourth Proportional to 165,704.16, 228,672 and 90,252.96

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Solution

The fourth proportional to 165,704.16, 228,672 and 90,252.96 is: 124,549.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,704.16 : 228,672 = 90,252.96 : x
  2. Step 2: Convert to fraction form
    165,704.16/228,672 = 90,252.96/x
  3. Step 3: Cross multiply
    165,704.16x = 228,672 × 90,252.96
  4. Step 4: Simplify right side
    165,704.16x = 20,638,324,869.12
  5. Step 5: Solve for x
    x = 20,638,324,869.12/165,704.16
  6. Step 6: Final answer
    x = 124,549.23

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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.