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Finding the Fourth Proportional to 211,934, 292,507.80 and 122,510

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Solution

The fourth proportional to 211,934, 292,507.80 and 122,510 is: 169,086.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,934 : 292,507.80 = 122,510 : x
  2. Step 2: Convert to fraction form
    211,934/292,507.80 = 122,510/x
  3. Step 3: Cross multiply
    211,934x = 292,507.80 × 122,510
  4. Step 4: Simplify right side
    211,934x = 35,835,130,578
  5. Step 5: Solve for x
    x = 35,835,130,578/211,934
  6. Step 6: Final answer
    x = 169,086.27

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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.