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Finding the Fourth Proportional to 149,017.16, 205,639.58 and 81,949.16

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Solution

The fourth proportional to 149,017.16, 205,639.58 and 81,949.16 is: 113,087.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,017.16 : 205,639.58 = 81,949.16 : x
  2. Step 2: Convert to fraction form
    149,017.16/205,639.58 = 81,949.16/x
  3. Step 3: Cross multiply
    149,017.16x = 205,639.58 × 81,949.16
  4. Step 4: Simplify right side
    149,017.16x = 16,851,990,843.75
  5. Step 5: Solve for x
    x = 16,851,990,843.75/149,017.16
  6. Step 6: Final answer
    x = 113,087.59

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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.