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Finding the Fourth Proportional to 81,422.34, 122,140.80 and 22,258.32

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Solution

The fourth proportional to 81,422.34, 122,140.80 and 22,258.32 is: 33,389.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,422.34 : 122,140.80 = 22,258.32 : x
  2. Step 2: Convert to fraction form
    81,422.34/122,140.80 = 22,258.32/x
  3. Step 3: Cross multiply
    81,422.34x = 122,140.80 × 22,258.32
  4. Step 4: Simplify right side
    81,422.34x = 2,718,649,011.46
  5. Step 5: Solve for x
    x = 2,718,649,011.46/81,422.34
  6. Step 6: Final answer
    x = 33,389.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.