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Finding the Fourth Proportional to 183,980.87, 276,078.36 and 77,357.09

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Solution

The fourth proportional to 183,980.87, 276,078.36 and 77,357.09 is: 116,080.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,980.87 : 276,078.36 = 77,357.09 : x
  2. Step 2: Convert to fraction form
    183,980.87/276,078.36 = 77,357.09/x
  3. Step 3: Cross multiply
    183,980.87x = 276,078.36 × 77,357.09
  4. Step 4: Simplify right side
    183,980.87x = 21,356,619,086.72
  5. Step 5: Solve for x
    x = 21,356,619,086.72/183,980.87
  6. Step 6: Final answer
    x = 116,080.65

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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.