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Finding the Fourth Proportional to 187,940.54, 281,840.54 and 75,582.78

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Solution

The fourth proportional to 187,940.54, 281,840.54 and 75,582.78 is: 113,345.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,940.54 : 281,840.54 = 75,582.78 : x
  2. Step 2: Convert to fraction form
    187,940.54/281,840.54 = 75,582.78/x
  3. Step 3: Cross multiply
    187,940.54x = 281,840.54 × 75,582.78
  4. Step 4: Simplify right side
    187,940.54x = 21,302,291,151.99
  5. Step 5: Solve for x
    x = 21,302,291,151.99/187,940.54
  6. Step 6: Final answer
    x = 113,345.91

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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.