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Finding the Fourth Proportional to 223,790.70, 308,837.82 and 137,799.28

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Solution

The fourth proportional to 223,790.70, 308,837.82 and 137,799.28 is: 190,167.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,790.70 : 308,837.82 = 137,799.28 : x
  2. Step 2: Convert to fraction form
    223,790.70/308,837.82 = 137,799.28/x
  3. Step 3: Cross multiply
    223,790.70x = 308,837.82 × 137,799.28
  4. Step 4: Simplify right side
    223,790.70x = 42,557,629,232.77
  5. Step 5: Solve for x
    x = 42,557,629,232.77/223,790.70
  6. Step 6: Final answer
    x = 190,167.10

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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.