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Finding the Fourth Proportional to 81,705.54, 122,565.37 and 22,541.21

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Solution

The fourth proportional to 81,705.54, 122,565.37 and 22,541.21 is: 33,813.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,705.54 : 122,565.37 = 22,541.21 : x
  2. Step 2: Convert to fraction form
    81,705.54/122,565.37 = 22,541.21/x
  3. Step 3: Cross multiply
    81,705.54x = 122,565.37 × 22,541.21
  4. Step 4: Simplify right side
    81,705.54x = 2,762,771,984.71
  5. Step 5: Solve for x
    x = 2,762,771,984.71/81,705.54
  6. Step 6: Final answer
    x = 33,813.77

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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.