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Finding the Fourth Proportional to 189,239.75, 283,859.67 and 76,981.04

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Solution

The fourth proportional to 189,239.75, 283,859.67 and 76,981.04 is: 115,471.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,239.75 : 283,859.67 = 76,981.04 : x
  2. Step 2: Convert to fraction form
    189,239.75/283,859.67 = 76,981.04/x
  3. Step 3: Cross multiply
    189,239.75x = 283,859.67 × 76,981.04
  4. Step 4: Simplify right side
    189,239.75x = 21,851,812,610.66
  5. Step 5: Solve for x
    x = 21,851,812,610.66/189,239.75
  6. Step 6: Final answer
    x = 115,471.58

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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.