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Finding the Fourth Proportional to 204,038.70, 305,839.35 and 77,630.10

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Solution

The fourth proportional to 204,038.70, 305,839.35 and 77,630.10 is: 116,361.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,038.70 : 305,839.35 = 77,630.10 : x
  2. Step 2: Convert to fraction form
    204,038.70/305,839.35 = 77,630.10/x
  3. Step 3: Cross multiply
    204,038.70x = 305,839.35 × 77,630.10
  4. Step 4: Simplify right side
    204,038.70x = 23,742,339,324.44
  5. Step 5: Solve for x
    x = 23,742,339,324.44/204,038.70
  6. Step 6: Final answer
    x = 116,361.94

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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.