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Finding the Fourth Proportional to 163,890, 226,164.48 and 91,292.40

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Solution

The fourth proportional to 163,890, 226,164.48 and 91,292.40 is: 125,981.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    163,890 : 226,164.48 = 91,292.40 : x
  2. Step 2: Convert to fraction form
    163,890/226,164.48 = 91,292.40/x
  3. Step 3: Cross multiply
    163,890x = 226,164.48 × 91,292.40
  4. Step 4: Simplify right side
    163,890x = 20,647,098,173.95
  5. Step 5: Solve for x
    x = 20,647,098,173.95/163,890
  6. Step 6: Final answer
    x = 125,981.44

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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.