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Finding the Fourth Proportional to 133,084.78, 183,659.78 and 72,657.97

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Solution

The fourth proportional to 133,084.78, 183,659.78 and 72,657.97 is: 100,269.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,084.78 : 183,659.78 = 72,657.97 : x
  2. Step 2: Convert to fraction form
    133,084.78/183,659.78 = 72,657.97/x
  3. Step 3: Cross multiply
    133,084.78x = 183,659.78 × 72,657.97
  4. Step 4: Simplify right side
    133,084.78x = 13,344,346,785.45
  5. Step 5: Solve for x
    x = 13,344,346,785.45/133,084.78
  6. Step 6: Final answer
    x = 100,269.52

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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.