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Finding the Fourth Proportional to 190,806.40, 285,964.80 and 106,566.40

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Solution

The fourth proportional to 190,806.40, 285,964.80 and 106,566.40 is: 159,712.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,806.40 : 285,964.80 = 106,566.40 : x
  2. Step 2: Convert to fraction form
    190,806.40/285,964.80 = 106,566.40/x
  3. Step 3: Cross multiply
    190,806.40x = 285,964.80 × 106,566.40
  4. Step 4: Simplify right side
    190,806.40x = 30,474,239,262.72
  5. Step 5: Solve for x
    x = 30,474,239,262.72/190,806.40
  6. Step 6: Final answer
    x = 159,712.88

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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.