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Finding the Fourth Proportional to 101,905.87, 152,172.57 and 83,222.97

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Solution

The fourth proportional to 101,905.87, 152,172.57 and 83,222.97 is: 124,274.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,905.87 : 152,172.57 = 83,222.97 : x
  2. Step 2: Convert to fraction form
    101,905.87/152,172.57 = 83,222.97/x
  3. Step 3: Cross multiply
    101,905.87x = 152,172.57 × 83,222.97
  4. Step 4: Simplify right side
    101,905.87x = 12,664,252,657.29
  5. Step 5: Solve for x
    x = 12,664,252,657.29/101,905.87
  6. Step 6: Final answer
    x = 124,274.03

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.