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Finding the Fourth Proportional to 149,803.68, 206,728.02 and 81,820.67

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Solution

The fourth proportional to 149,803.68, 206,728.02 and 81,820.67 is: 112,911.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,803.68 : 206,728.02 = 81,820.67 : x
  2. Step 2: Convert to fraction form
    149,803.68/206,728.02 = 81,820.67/x
  3. Step 3: Cross multiply
    149,803.68x = 206,728.02 × 81,820.67
  4. Step 4: Simplify right side
    149,803.68x = 16,914,625,104.17
  5. Step 5: Solve for x
    x = 16,914,625,104.17/149,803.68
  6. Step 6: Final answer
    x = 112,911.95

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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.