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Finding the Fourth Proportional to 221,773, 306,046.76 and 121,171.72

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Solution

The fourth proportional to 221,773, 306,046.76 and 121,171.72 is: 167,216.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,773 : 306,046.76 = 121,171.72 : x
  2. Step 2: Convert to fraction form
    221,773/306,046.76 = 121,171.72/x
  3. Step 3: Cross multiply
    221,773x = 306,046.76 × 121,171.72
  4. Step 4: Simplify right side
    221,773x = 37,084,212,309.63
  5. Step 5: Solve for x
    x = 37,084,212,309.63/221,773
  6. Step 6: Final answer
    x = 167,216.98

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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.