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Finding the Fourth Proportional to 117,530, 176,178.36 and 55,088.72

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Solution

The fourth proportional to 117,530, 176,178.36 and 55,088.72 is: 82,578.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,530 : 176,178.36 = 55,088.72 : x
  2. Step 2: Convert to fraction form
    117,530/176,178.36 = 55,088.72/x
  3. Step 3: Cross multiply
    117,530x = 176,178.36 × 55,088.72
  4. Step 4: Simplify right side
    117,530x = 9,705,440,344.10
  5. Step 5: Solve for x
    x = 9,705,440,344.10/117,530
  6. Step 6: Final answer
    x = 82,578.41

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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.