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Finding the Fourth Proportional to 101,384.64, 152,067.20 and 31,245.12

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Solution

The fourth proportional to 101,384.64, 152,067.20 and 31,245.12 is: 46,864.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,384.64 : 152,067.20 = 31,245.12 : x
  2. Step 2: Convert to fraction form
    101,384.64/152,067.20 = 31,245.12/x
  3. Step 3: Cross multiply
    101,384.64x = 152,067.20 × 31,245.12
  4. Step 4: Simplify right side
    101,384.64x = 4,751,357,912.06
  5. Step 5: Solve for x
    x = 4,751,357,912.06/101,384.64
  6. Step 6: Final answer
    x = 46,864.67

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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.