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Finding the Fourth Proportional to 207,429.88, 311,142.78 and 95,078.20

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Solution

The fourth proportional to 207,429.88, 311,142.78 and 95,078.20 is: 142,616.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,429.88 : 311,142.78 = 95,078.20 : x
  2. Step 2: Convert to fraction form
    207,429.88/311,142.78 = 95,078.20/x
  3. Step 3: Cross multiply
    207,429.88x = 311,142.78 × 95,078.20
  4. Step 4: Simplify right side
    207,429.88x = 29,582,895,465.40
  5. Step 5: Solve for x
    x = 29,582,895,465.40/207,429.88
  6. Step 6: Final answer
    x = 142,616.36

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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.