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Finding the Fourth Proportional to 222,391, 306,900.66 and 121,789

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Solution

The fourth proportional to 222,391, 306,900.66 and 121,789 is: 168,069.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,391 : 306,900.66 = 121,789 : x
  2. Step 2: Convert to fraction form
    222,391/306,900.66 = 121,789/x
  3. Step 3: Cross multiply
    222,391x = 306,900.66 × 121,789
  4. Step 4: Simplify right side
    222,391x = 37,377,124,480.74
  5. Step 5: Solve for x
    x = 37,377,124,480.74/222,391
  6. Step 6: Final answer
    x = 168,069.41

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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.