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Finding the Fourth Proportional to 211,933, 292,506.42 and 122,509

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Solution

The fourth proportional to 211,933, 292,506.42 and 122,509 is: 169,084.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,933 : 292,506.42 = 122,509 : x
  2. Step 2: Convert to fraction form
    211,933/292,506.42 = 122,509/x
  3. Step 3: Cross multiply
    211,933x = 292,506.42 × 122,509
  4. Step 4: Simplify right side
    211,933x = 35,834,669,007.78
  5. Step 5: Solve for x
    x = 35,834,669,007.78/211,933
  6. Step 6: Final answer
    x = 169,084.89

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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.