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Finding the Fourth Proportional to 183,993, 276,076.64 and 77,400.32

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Solution

The fourth proportional to 183,993, 276,076.64 and 77,400.32 is: 116,137.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,993 : 276,076.64 = 77,400.32 : x
  2. Step 2: Convert to fraction form
    183,993/276,076.64 = 77,400.32/x
  3. Step 3: Cross multiply
    183,993x = 276,076.64 × 77,400.32
  4. Step 4: Simplify right side
    183,993x = 21,368,420,280.52
  5. Step 5: Solve for x
    x = 21,368,420,280.52/183,993
  6. Step 6: Final answer
    x = 116,137.14

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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.