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Finding the Fourth Proportional to 221,933, 306,268.62 and 121,331

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Solution

The fourth proportional to 221,933, 306,268.62 and 121,331 is: 167,437.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,933 : 306,268.62 = 121,331 : x
  2. Step 2: Convert to fraction form
    221,933/306,268.62 = 121,331/x
  3. Step 3: Cross multiply
    221,933x = 306,268.62 × 121,331
  4. Step 4: Simplify right side
    221,933x = 37,159,877,933.22
  5. Step 5: Solve for x
    x = 37,159,877,933.22/221,933
  6. Step 6: Final answer
    x = 167,437.37

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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.