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Finding the Fourth Proportional to 133,231.78, 183,865.21 and 76,643.14

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Solution

The fourth proportional to 133,231.78, 183,865.21 and 76,643.14 is: 105,770.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,231.78 : 183,865.21 = 76,643.14 : x
  2. Step 2: Convert to fraction form
    133,231.78/183,865.21 = 76,643.14/x
  3. Step 3: Cross multiply
    133,231.78x = 183,865.21 × 76,643.14
  4. Step 4: Simplify right side
    133,231.78x = 14,092,007,031.16
  5. Step 5: Solve for x
    x = 14,092,007,031.16/133,231.78
  6. Step 6: Final answer
    x = 105,770.61

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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.