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Finding the Fourth Proportional to 149,797.10, 206,710.83 and 81,800.24

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Solution

The fourth proportional to 149,797.10, 206,710.83 and 81,800.24 is: 112,879.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,797.10 : 206,710.83 = 81,800.24 : x
  2. Step 2: Convert to fraction form
    149,797.10/206,710.83 = 81,800.24/x
  3. Step 3: Cross multiply
    149,797.10x = 206,710.83 × 81,800.24
  4. Step 4: Simplify right side
    149,797.10x = 16,908,994,471.05
  5. Step 5: Solve for x
    x = 16,908,994,471.05/149,797.10
  6. Step 6: Final answer
    x = 112,879.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.