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Finding the Fourth Proportional to 213,953.78, 295,260.82 and 117,161.72

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Solution

The fourth proportional to 213,953.78, 295,260.82 and 117,161.72 is: 161,685.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,953.78 : 295,260.82 = 117,161.72 : x
  2. Step 2: Convert to fraction form
    213,953.78/295,260.82 = 117,161.72/x
  3. Step 3: Cross multiply
    213,953.78x = 295,260.82 × 117,161.72
  4. Step 4: Simplify right side
    213,953.78x = 34,593,265,519.81
  5. Step 5: Solve for x
    x = 34,593,265,519.81/213,953.78
  6. Step 6: Final answer
    x = 161,685.69

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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.