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Finding the Fourth Proportional to 81,455.81, 122,156.37 and 36,448.97

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Solution

The fourth proportional to 81,455.81, 122,156.37 and 36,448.97 is: 54,661.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,455.81 : 122,156.37 = 36,448.97 : x
  2. Step 2: Convert to fraction form
    81,455.81/122,156.37 = 36,448.97/x
  3. Step 3: Cross multiply
    81,455.81x = 122,156.37 × 36,448.97
  4. Step 4: Simplify right side
    81,455.81x = 4,452,473,254.66
  5. Step 5: Solve for x
    x = 4,452,473,254.66/81,455.81
  6. Step 6: Final answer
    x = 54,661.21

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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.