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Finding the Fourth Proportional to 81,392.32, 122,078.76 and 22,233.16

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Solution

The fourth proportional to 81,392.32, 122,078.76 and 22,233.16 is: 33,347.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,392.32 : 122,078.76 = 22,233.16 : x
  2. Step 2: Convert to fraction form
    81,392.32/122,078.76 = 22,233.16/x
  3. Step 3: Cross multiply
    81,392.32x = 122,078.76 × 22,233.16
  4. Step 4: Simplify right side
    81,392.32x = 2,714,196,603.68
  5. Step 5: Solve for x
    x = 2,714,196,603.68/81,392.32
  6. Step 6: Final answer
    x = 33,347.08

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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.