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Finding the Fourth Proportional to 211,932, 292,505.04 and 122,508

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Solution

The fourth proportional to 211,932, 292,505.04 and 122,508 is: 169,083.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,932 : 292,505.04 = 122,508 : x
  2. Step 2: Convert to fraction form
    211,932/292,505.04 = 122,508/x
  3. Step 3: Cross multiply
    211,932x = 292,505.04 × 122,508
  4. Step 4: Simplify right side
    211,932x = 35,834,207,440.32
  5. Step 5: Solve for x
    x = 35,834,207,440.32/211,932
  6. Step 6: Final answer
    x = 169,083.51

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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.