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Finding the Fourth Proportional to 208,005.66, 311,396.12 and 128,865.42

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Solution

The fourth proportional to 208,005.66, 311,396.12 and 128,865.42 is: 192,918.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,005.66 : 311,396.12 = 128,865.42 : x
  2. Step 2: Convert to fraction form
    208,005.66/311,396.12 = 128,865.42/x
  3. Step 3: Cross multiply
    208,005.66x = 311,396.12 × 128,865.42
  4. Step 4: Simplify right side
    208,005.66x = 40,128,191,790.17
  5. Step 5: Solve for x
    x = 40,128,191,790.17/208,005.66
  6. Step 6: Final answer
    x = 192,918.75

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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.