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Finding the Fourth Proportional to 211,697.78, 292,141.16 and 116,198.78

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Solution

The fourth proportional to 211,697.78, 292,141.16 and 116,198.78 is: 160,353.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,697.78 : 292,141.16 = 116,198.78 : x
  2. Step 2: Convert to fraction form
    211,697.78/292,141.16 = 116,198.78/x
  3. Step 3: Cross multiply
    211,697.78x = 292,141.16 × 116,198.78
  4. Step 4: Simplify right side
    211,697.78x = 33,946,444,338.09
  5. Step 5: Solve for x
    x = 33,946,444,338.09/211,697.78
  6. Step 6: Final answer
    x = 160,353.34

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1.5x scale

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.