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Finding the Fourth Proportional to 220,642.72, 304,474.08 and 123,837.58

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Solution

The fourth proportional to 220,642.72, 304,474.08 and 123,837.58 is: 170,888.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,642.72 : 304,474.08 = 123,837.58 : x
  2. Step 2: Convert to fraction form
    220,642.72/304,474.08 = 123,837.58/x
  3. Step 3: Cross multiply
    220,642.72x = 304,474.08 × 123,837.58
  4. Step 4: Simplify right side
    220,642.72x = 37,705,333,239.93
  5. Step 5: Solve for x
    x = 37,705,333,239.93/220,642.72
  6. Step 6: Final answer
    x = 170,888.63

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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.