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Finding the Fourth Proportional to 81,057.42, 111,809.52 and 53,834.76

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Solution

The fourth proportional to 81,057.42, 111,809.52 and 53,834.76 is: 74,258.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,057.42 : 111,809.52 = 53,834.76 : x
  2. Step 2: Convert to fraction form
    81,057.42/111,809.52 = 53,834.76/x
  3. Step 3: Cross multiply
    81,057.42x = 111,809.52 × 53,834.76
  4. Step 4: Simplify right side
    81,057.42x = 6,019,238,674.92
  5. Step 5: Solve for x
    x = 6,019,238,674.92/81,057.42
  6. Step 6: Final answer
    x = 74,258.95

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1.5x scale

Why These Related Problems?

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