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Finding the Fourth Proportional to 211,816, 292,332 and 122,392

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Solution

The fourth proportional to 211,816, 292,332 and 122,392 is: 168,915.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,816 : 292,332 = 122,392 : x
  2. Step 2: Convert to fraction form
    211,816/292,332 = 122,392/x
  3. Step 3: Cross multiply
    211,816x = 292,332 × 122,392
  4. Step 4: Simplify right side
    211,816x = 35,779,098,144
  5. Step 5: Solve for x
    x = 35,779,098,144/211,816
  6. Step 6: Final answer
    x = 168,915.94

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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.