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Finding the Fourth Proportional to 149,559.68, 206,392.48 and 81,576.80

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Solution

The fourth proportional to 149,559.68, 206,392.48 and 81,576.80 is: 112,576.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,559.68 : 206,392.48 = 81,576.80 : x
  2. Step 2: Convert to fraction form
    149,559.68/206,392.48 = 81,576.80/x
  3. Step 3: Cross multiply
    149,559.68x = 206,392.48 × 81,576.80
  4. Step 4: Simplify right side
    149,559.68x = 16,836,838,062.46
  5. Step 5: Solve for x
    x = 16,836,838,062.46/149,559.68
  6. Step 6: Final answer
    x = 112,576.05

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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.