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Finding the Fourth Proportional to 149,797.22, 206,721.72 and 81,816.14

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Solution

The fourth proportional to 149,797.22, 206,721.72 and 81,816.14 is: 112,907.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,797.22 : 206,721.72 = 81,816.14 : x
  2. Step 2: Convert to fraction form
    149,797.22/206,721.72 = 81,816.14/x
  3. Step 3: Cross multiply
    149,797.22x = 206,721.72 × 81,816.14
  4. Step 4: Simplify right side
    149,797.22x = 16,913,173,701.37
  5. Step 5: Solve for x
    x = 16,913,173,701.37/149,797.22
  6. Step 6: Final answer
    x = 112,907.13

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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.