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Finding the Fourth Proportional to 211,978.82, 292,238.48 and 169,103.84

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Solution

The fourth proportional to 211,978.82, 292,238.48 and 169,103.84 is: 233,130.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,978.82 : 292,238.48 = 169,103.84 : x
  2. Step 2: Convert to fraction form
    211,978.82/292,238.48 = 169,103.84/x
  3. Step 3: Cross multiply
    211,978.82x = 292,238.48 × 169,103.84
  4. Step 4: Simplify right side
    211,978.82x = 49,418,648,125.33
  5. Step 5: Solve for x
    x = 49,418,648,125.33/211,978.82
  6. Step 6: Final answer
    x = 233,130.12

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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.