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Finding the Fourth Proportional to 220,980.26, 304,944.70 and 135,083.11

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Solution

The fourth proportional to 220,980.26, 304,944.70 and 135,083.11 is: 186,409.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,980.26 : 304,944.70 = 135,083.11 : x
  2. Step 2: Convert to fraction form
    220,980.26/304,944.70 = 135,083.11/x
  3. Step 3: Cross multiply
    220,980.26x = 304,944.70 × 135,083.11
  4. Step 4: Simplify right side
    220,980.26x = 41,192,878,454.02
  5. Step 5: Solve for x
    x = 41,192,878,454.02/220,980.26
  6. Step 6: Final answer
    x = 186,409.77

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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.