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Finding the Fourth Proportional to 211,504, 291,875.52 and 122,080

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Solution

The fourth proportional to 211,504, 291,875.52 and 122,080 is: 168,470.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,504 : 291,875.52 = 122,080 : x
  2. Step 2: Convert to fraction form
    211,504/291,875.52 = 122,080/x
  3. Step 3: Cross multiply
    211,504x = 291,875.52 × 122,080
  4. Step 4: Simplify right side
    211,504x = 35,632,163,481.60
  5. Step 5: Solve for x
    x = 35,632,163,481.60/211,504
  6. Step 6: Final answer
    x = 168,470.40

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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.