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Finding the Fourth Proportional to 133,281.42, 183,921.27 and 72,840.42

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Solution

The fourth proportional to 133,281.42, 183,921.27 and 72,840.42 is: 100,515.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,281.42 : 183,921.27 = 72,840.42 : x
  2. Step 2: Convert to fraction form
    133,281.42/183,921.27 = 72,840.42/x
  3. Step 3: Cross multiply
    133,281.42x = 183,921.27 × 72,840.42
  4. Step 4: Simplify right side
    133,281.42x = 13,396,902,553.73
  5. Step 5: Solve for x
    x = 13,396,902,553.73/133,281.42
  6. Step 6: Final answer
    x = 100,515.91

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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.