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Finding the Fourth Proportional to 208,107.28, 312,207 and 114,564.88

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Solution

The fourth proportional to 208,107.28, 312,207 and 114,564.88 is: 171,872.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,107.28 : 312,207 = 114,564.88 : x
  2. Step 2: Convert to fraction form
    208,107.28/312,207 = 114,564.88/x
  3. Step 3: Cross multiply
    208,107.28x = 312,207 × 114,564.88
  4. Step 4: Simplify right side
    208,107.28x = 35,767,957,490.16
  5. Step 5: Solve for x
    x = 35,767,957,490.16/208,107.28
  6. Step 6: Final answer
    x = 171,872.69

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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.