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Finding the Fourth Proportional to 181,930.40, 273,025.20 and 76,824.80

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Solution

The fourth proportional to 181,930.40, 273,025.20 and 76,824.80 is: 115,291.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,930.40 : 273,025.20 = 76,824.80 : x
  2. Step 2: Convert to fraction form
    181,930.40/273,025.20 = 76,824.80/x
  3. Step 3: Cross multiply
    181,930.40x = 273,025.20 × 76,824.80
  4. Step 4: Simplify right side
    181,930.40x = 20,975,106,384.96
  5. Step 5: Solve for x
    x = 20,975,106,384.96/181,930.40
  6. Step 6: Final answer
    x = 115,291.93

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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.