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Finding the Fourth Proportional to 78,712.78, 117,963.32 and 35,965.04

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Solution

The fourth proportional to 78,712.78, 117,963.32 and 35,965.04 is: 53,899.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,712.78 : 117,963.32 = 35,965.04 : x
  2. Step 2: Convert to fraction form
    78,712.78/117,963.32 = 35,965.04/x
  3. Step 3: Cross multiply
    78,712.78x = 117,963.32 × 35,965.04
  4. Step 4: Simplify right side
    78,712.78x = 4,242,555,522.33
  5. Step 5: Solve for x
    x = 4,242,555,522.33/78,712.78
  6. Step 6: Final answer
    x = 53,899.20

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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.