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Finding the Fourth Proportional to 211,746, 292,235.40 and 122,322

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Solution

The fourth proportional to 211,746, 292,235.40 and 122,322 is: 168,819.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,746 : 292,235.40 = 122,322 : x
  2. Step 2: Convert to fraction form
    211,746/292,235.40 = 122,322/x
  3. Step 3: Cross multiply
    211,746x = 292,235.40 × 122,322
  4. Step 4: Simplify right side
    211,746x = 35,746,818,598.80
  5. Step 5: Solve for x
    x = 35,746,818,598.80/211,746
  6. Step 6: Final answer
    x = 168,819.33

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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.