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Finding the Fourth Proportional to 211,734, 292,218.84 and 122,310

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Solution

The fourth proportional to 211,734, 292,218.84 and 122,310 is: 168,802.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,734 : 292,218.84 = 122,310 : x
  2. Step 2: Convert to fraction form
    211,734/292,218.84 = 122,310/x
  3. Step 3: Cross multiply
    211,734x = 292,218.84 × 122,310
  4. Step 4: Simplify right side
    211,734x = 35,741,286,320.40
  5. Step 5: Solve for x
    x = 35,741,286,320.40/211,734
  6. Step 6: Final answer
    x = 168,802.77

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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.