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Finding the Fourth Proportional to 117,378.40, 176,456.40 and 100,271.20

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Solution

The fourth proportional to 117,378.40, 176,456.40 and 100,271.20 is: 150,738.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,378.40 : 176,456.40 = 100,271.20 : x
  2. Step 2: Convert to fraction form
    117,378.40/176,456.40 = 100,271.20/x
  3. Step 3: Cross multiply
    117,378.40x = 176,456.40 × 100,271.20
  4. Step 4: Simplify right side
    117,378.40x = 17,693,494,975.68
  5. Step 5: Solve for x
    x = 17,693,494,975.68/117,378.40
  6. Step 6: Final answer
    x = 150,738.93

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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.