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Finding the Fourth Proportional to 223,172.64, 307,977.26 and 121,197.29

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Solution

The fourth proportional to 223,172.64, 307,977.26 and 121,197.29 is: 167,251.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,172.64 : 307,977.26 = 121,197.29 : x
  2. Step 2: Convert to fraction form
    223,172.64/307,977.26 = 121,197.29/x
  3. Step 3: Cross multiply
    223,172.64x = 307,977.26 × 121,197.29
  4. Step 4: Simplify right side
    223,172.64x = 37,326,007,147.75
  5. Step 5: Solve for x
    x = 37,326,007,147.75/223,172.64
  6. Step 6: Final answer
    x = 167,251.72

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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.