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Finding the Fourth Proportional to 117,405.40, 176,205.30 and 54,322.60

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Solution

The fourth proportional to 117,405.40, 176,205.30 and 54,322.60 is: 81,528.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,405.40 : 176,205.30 = 54,322.60 : x
  2. Step 2: Convert to fraction form
    117,405.40/176,205.30 = 54,322.60/x
  3. Step 3: Cross multiply
    117,405.40x = 176,205.30 × 54,322.60
  4. Step 4: Simplify right side
    117,405.40x = 9,571,930,029.78
  5. Step 5: Solve for x
    x = 9,571,930,029.78/117,405.40
  6. Step 6: Final answer
    x = 81,528.87

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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.