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Finding the Fourth Proportional to 82,712.34, 114,161.40 and 50,454.09

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Solution

The fourth proportional to 82,712.34, 114,161.40 and 50,454.09 is: 69,637.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,712.34 : 114,161.40 = 50,454.09 : x
  2. Step 2: Convert to fraction form
    82,712.34/114,161.40 = 50,454.09/x
  3. Step 3: Cross multiply
    82,712.34x = 114,161.40 × 50,454.09
  4. Step 4: Simplify right side
    82,712.34x = 5,759,909,550.13
  5. Step 5: Solve for x
    x = 5,759,909,550.13/82,712.34
  6. Step 6: Final answer
    x = 69,637.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.