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Finding the Fourth Proportional to 165,812.56, 228,821.34 and 90,361

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Solution

The fourth proportional to 165,812.56, 228,821.34 and 90,361 is: 124,698.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,812.56 : 228,821.34 = 90,361 : x
  2. Step 2: Convert to fraction form
    165,812.56/228,821.34 = 90,361/x
  3. Step 3: Cross multiply
    165,812.56x = 228,821.34 × 90,361
  4. Step 4: Simplify right side
    165,812.56x = 20,676,525,103.74
  5. Step 5: Solve for x
    x = 20,676,525,103.74/165,812.56
  6. Step 6: Final answer
    x = 124,698.18

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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.