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Finding the Fourth Proportional to 165,456, 228,312 and 93,813.12

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Solution

The fourth proportional to 165,456, 228,312 and 93,813.12 is: 129,452.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,456 : 228,312 = 93,813.12 : x
  2. Step 2: Convert to fraction form
    165,456/228,312 = 93,813.12/x
  3. Step 3: Cross multiply
    165,456x = 228,312 × 93,813.12
  4. Step 4: Simplify right side
    165,456x = 21,418,661,053.44
  5. Step 5: Solve for x
    x = 21,418,661,053.44/165,456
  6. Step 6: Final answer
    x = 129,452.31

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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.