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Finding the Fourth Proportional to 208,024.32, 311,997.42 and 81,659.64

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Solution

The fourth proportional to 208,024.32, 311,997.42 and 81,659.64 is: 122,474.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,024.32 : 311,997.42 = 81,659.64 : x
  2. Step 2: Convert to fraction form
    208,024.32/311,997.42 = 81,659.64/x
  3. Step 3: Cross multiply
    208,024.32x = 311,997.42 × 81,659.64
  4. Step 4: Simplify right side
    208,024.32x = 25,477,596,998.13
  5. Step 5: Solve for x
    x = 25,477,596,998.13/208,024.32
  6. Step 6: Final answer
    x = 122,474.13

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1.5x scale

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.