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Finding the Fourth Proportional to 189,576.33, 284,363.69 and 77,231.49

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Solution

The fourth proportional to 189,576.33, 284,363.69 and 77,231.49 is: 115,846.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,576.33 : 284,363.69 = 77,231.49 : x
  2. Step 2: Convert to fraction form
    189,576.33/284,363.69 = 77,231.49/x
  3. Step 3: Cross multiply
    189,576.33x = 284,363.69 × 77,231.49
  4. Step 4: Simplify right side
    189,576.33x = 21,961,831,094.44
  5. Step 5: Solve for x
    x = 21,961,831,094.44/189,576.33
  6. Step 6: Final answer
    x = 115,846.91

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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.