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Finding the Fourth Proportional to 81,759, 122,677.36 and 37,382.34

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Solution

The fourth proportional to 81,759, 122,677.36 and 37,382.34 is: 56,091.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,759 : 122,677.36 = 37,382.34 : x
  2. Step 2: Convert to fraction form
    81,759/122,677.36 = 37,382.34/x
  3. Step 3: Cross multiply
    81,759x = 122,677.36 × 37,382.34
  4. Step 4: Simplify right side
    81,759x = 4,585,966,781.82
  5. Step 5: Solve for x
    x = 4,585,966,781.82/81,759
  6. Step 6: Final answer
    x = 56,091.28

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