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Finding the Fourth Proportional to 221,788.71, 306,068.37 and 121,186.71

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Solution

The fourth proportional to 221,788.71, 306,068.37 and 121,186.71 is: 167,237.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,788.71 : 306,068.37 = 121,186.71 : x
  2. Step 2: Convert to fraction form
    221,788.71/306,068.37 = 121,186.71/x
  3. Step 3: Cross multiply
    221,788.71x = 306,068.37 × 121,186.71
  4. Step 4: Simplify right side
    221,788.71x = 37,091,418,795.36
  5. Step 5: Solve for x
    x = 37,091,418,795.36/221,788.71
  6. Step 6: Final answer
    x = 167,237.63

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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.