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Finding the Fourth Proportional to 119,156.28, 178,734.27 and 30,409.79

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Solution

The fourth proportional to 119,156.28, 178,734.27 and 30,409.79 is: 45,614.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,156.28 : 178,734.27 = 30,409.79 : x
  2. Step 2: Convert to fraction form
    119,156.28/178,734.27 = 30,409.79/x
  3. Step 3: Cross multiply
    119,156.28x = 178,734.27 × 30,409.79
  4. Step 4: Simplify right side
    119,156.28x = 5,435,270,722.83
  5. Step 5: Solve for x
    x = 5,435,270,722.83/119,156.28
  6. Step 6: Final answer
    x = 45,614.64

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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.