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Finding the Fourth Proportional to 221,807.24, 306,100.13 and 135,764.51

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Solution

The fourth proportional to 221,807.24, 306,100.13 and 135,764.51 is: 187,358.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,807.24 : 306,100.13 = 135,764.51 : x
  2. Step 2: Convert to fraction form
    221,807.24/306,100.13 = 135,764.51/x
  3. Step 3: Cross multiply
    221,807.24x = 306,100.13 × 135,764.51
  4. Step 4: Simplify right side
    221,807.24x = 41,557,534,436.55
  5. Step 5: Solve for x
    x = 41,557,534,436.55/221,807.24
  6. Step 6: Final answer
    x = 187,358.78

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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.