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Finding the Fourth Proportional to 211,911.31, 292,454.01 and 121,295.71

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Solution

The fourth proportional to 211,911.31, 292,454.01 and 121,295.71 is: 167,397.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    211,911.31 : 292,454.01 = 121,295.71 : x
  2. Step 2: Convert to fraction form
    211,911.31/292,454.01 = 121,295.71/x
  3. Step 3: Cross multiply
    211,911.31x = 292,454.01 × 121,295.71
  4. Step 4: Simplify right side
    211,911.31x = 35,473,414,716.55
  5. Step 5: Solve for x
    x = 35,473,414,716.55/211,911.31
  6. Step 6: Final answer
    x = 167,397.46

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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.