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Finding the Fourth Proportional to 213,963.78, 295,274.64 and 117,171.72

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Solution

The fourth proportional to 213,963.78, 295,274.64 and 117,171.72 is: 161,699.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,963.78 : 295,274.64 = 117,171.72 : x
  2. Step 2: Convert to fraction form
    213,963.78/295,274.64 = 117,171.72/x
  3. Step 3: Cross multiply
    213,963.78x = 295,274.64 × 117,171.72
  4. Step 4: Simplify right side
    213,963.78x = 34,597,837,441.18
  5. Step 5: Solve for x
    x = 34,597,837,441.18/213,963.78
  6. Step 6: Final answer
    x = 161,699.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.