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Finding the Fourth Proportional to 207,840.10, 311,851.95 and 101,164.90

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Solution

The fourth proportional to 207,840.10, 311,851.95 and 101,164.90 is: 151,792.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,840.10 : 311,851.95 = 101,164.90 : x
  2. Step 2: Convert to fraction form
    207,840.10/311,851.95 = 101,164.90/x
  3. Step 3: Cross multiply
    207,840.10x = 311,851.95 × 101,164.90
  4. Step 4: Simplify right side
    207,840.10x = 31,548,471,336.56
  5. Step 5: Solve for x
    x = 31,548,471,336.56/207,840.10
  6. Step 6: Final answer
    x = 151,792.03

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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.