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Finding the Fourth Proportional to 129,635.76, 194,453.62 and 31,139.76

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Solution

The fourth proportional to 129,635.76, 194,453.62 and 31,139.76 is: 46,709.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,635.76 : 194,453.62 = 31,139.76 : x
  2. Step 2: Convert to fraction form
    129,635.76/194,453.62 = 31,139.76/x
  3. Step 3: Cross multiply
    129,635.76x = 194,453.62 × 31,139.76
  4. Step 4: Simplify right side
    129,635.76x = 6,055,239,057.93
  5. Step 5: Solve for x
    x = 6,055,239,057.93/129,635.76
  6. Step 6: Final answer
    x = 46,709.64

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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.