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Finding the Fourth Proportional to 132,297.28, 198,478.32 and 65,768.76

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Solution

The fourth proportional to 132,297.28, 198,478.32 and 65,768.76 is: 98,669.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,297.28 : 198,478.32 = 65,768.76 : x
  2. Step 2: Convert to fraction form
    132,297.28/198,478.32 = 65,768.76/x
  3. Step 3: Cross multiply
    132,297.28x = 198,478.32 × 65,768.76
  4. Step 4: Simplify right side
    132,297.28x = 13,053,672,993.28
  5. Step 5: Solve for x
    x = 13,053,672,993.28/132,297.28
  6. Step 6: Final answer
    x = 98,669.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.