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Finding the Fourth Proportional to 81,282.80, 121,686.60 and 57,954.80

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Solution

The fourth proportional to 81,282.80, 121,686.60 and 57,954.80 is: 86,762.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,282.80 : 121,686.60 = 57,954.80 : x
  2. Step 2: Convert to fraction form
    81,282.80/121,686.60 = 57,954.80/x
  3. Step 3: Cross multiply
    81,282.80x = 121,686.60 × 57,954.80
  4. Step 4: Simplify right side
    81,282.80x = 7,052,322,565.68
  5. Step 5: Solve for x
    x = 7,052,322,565.68/81,282.80
  6. Step 6: Final answer
    x = 86,762.79

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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.