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Finding the Fourth Proportional to 203,905.49, 305,858.43 and 77,516.06

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Solution

The fourth proportional to 203,905.49, 305,858.43 and 77,516.06 is: 116,274.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,905.49 : 305,858.43 = 77,516.06 : x
  2. Step 2: Convert to fraction form
    203,905.49/305,858.43 = 77,516.06/x
  3. Step 3: Cross multiply
    203,905.49x = 305,858.43 × 77,516.06
  4. Step 4: Simplify right side
    203,905.49x = 23,708,938,882.09
  5. Step 5: Solve for x
    x = 23,708,938,882.09/203,905.49
  6. Step 6: Final answer
    x = 116,274.16

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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.