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Finding the Fourth Proportional to 119,179.45, 178,769.03 and 30,433.02

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Solution

The fourth proportional to 119,179.45, 178,769.03 and 30,433.02 is: 45,649.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,179.45 : 178,769.03 = 30,433.02 : x
  2. Step 2: Convert to fraction form
    119,179.45/178,769.03 = 30,433.02/x
  3. Step 3: Cross multiply
    119,179.45x = 178,769.03 × 30,433.02
  4. Step 4: Simplify right side
    119,179.45x = 5,440,480,642.82
  5. Step 5: Solve for x
    x = 5,440,480,642.82/119,179.45
  6. Step 6: Final answer
    x = 45,649.49

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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.