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Finding the Fourth Proportional to 81,242.95, 121,864.08 and 22,078.45

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Solution

The fourth proportional to 81,242.95, 121,864.08 and 22,078.45 is: 33,117.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,242.95 : 121,864.08 = 22,078.45 : x
  2. Step 2: Convert to fraction form
    81,242.95/121,864.08 = 22,078.45/x
  3. Step 3: Cross multiply
    81,242.95x = 121,864.08 × 22,078.45
  4. Step 4: Simplify right side
    81,242.95x = 2,690,569,858.41
  5. Step 5: Solve for x
    x = 2,690,569,858.41/81,242.95
  6. Step 6: Final answer
    x = 33,117.58

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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.