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Finding the Fourth Proportional to 196,286.40, 294,127.20 and 146,131.20

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Solution

The fourth proportional to 196,286.40, 294,127.20 and 146,131.20 is: 218,971.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,286.40 : 294,127.20 = 146,131.20 : x
  2. Step 2: Convert to fraction form
    196,286.40/294,127.20 = 146,131.20/x
  3. Step 3: Cross multiply
    196,286.40x = 294,127.20 × 146,131.20
  4. Step 4: Simplify right side
    196,286.40x = 42,981,160,688.64
  5. Step 5: Solve for x
    x = 42,981,160,688.64/196,286.40
  6. Step 6: Final answer
    x = 218,971.67

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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.