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Finding the Fourth Proportional to 78,651.36, 117,878.51 and 61,945.41

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Solution

The fourth proportional to 78,651.36, 117,878.51 and 61,945.41 is: 92,840.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,651.36 : 117,878.51 = 61,945.41 : x
  2. Step 2: Convert to fraction form
    78,651.36/117,878.51 = 61,945.41/x
  3. Step 3: Cross multiply
    78,651.36x = 117,878.51 × 61,945.41
  4. Step 4: Simplify right side
    78,651.36x = 7,302,032,632.14
  5. Step 5: Solve for x
    x = 7,302,032,632.14/78,651.36
  6. Step 6: Final answer
    x = 92,840.51

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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.