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Finding the Fourth Proportional to 211,978.57, 292,546.74 and 121,363.06

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Solution

The fourth proportional to 211,978.57, 292,546.74 and 121,363.06 is: 167,490.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,978.57 : 292,546.74 = 121,363.06 : x
  2. Step 2: Convert to fraction form
    211,978.57/292,546.74 = 121,363.06/x
  3. Step 3: Cross multiply
    211,978.57x = 292,546.74 × 121,363.06
  4. Step 4: Simplify right side
    211,978.57x = 35,504,367,559.42
  5. Step 5: Solve for x
    x = 35,504,367,559.42/211,978.57
  6. Step 6: Final answer
    x = 167,490.36

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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.