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Finding the Fourth Proportional to 132,309.64, 198,467.70 and 38,815.12

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Solution

The fourth proportional to 132,309.64, 198,467.70 and 38,815.12 is: 58,223.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,309.64 : 198,467.70 = 38,815.12 : x
  2. Step 2: Convert to fraction form
    132,309.64/198,467.70 = 38,815.12/x
  3. Step 3: Cross multiply
    132,309.64x = 198,467.70 × 38,815.12
  4. Step 4: Simplify right side
    132,309.64x = 7,703,547,591.62
  5. Step 5: Solve for x
    x = 7,703,547,591.62/132,309.64
  6. Step 6: Final answer
    x = 58,223.63

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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.