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Finding the Fourth Proportional to 81,358.34, 121,991.81 and 55,741.59

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Solution

The fourth proportional to 81,358.34, 121,991.81 and 55,741.59 is: 83,581.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,358.34 : 121,991.81 = 55,741.59 : x
  2. Step 2: Convert to fraction form
    81,358.34/121,991.81 = 55,741.59/x
  3. Step 3: Cross multiply
    81,358.34x = 121,991.81 × 55,741.59
  4. Step 4: Simplify right side
    81,358.34x = 6,800,017,177.67
  5. Step 5: Solve for x
    x = 6,800,017,177.67/81,358.34
  6. Step 6: Final answer
    x = 83,581.08

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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.