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Finding the Fourth Proportional to 203,179.51, 304,956.38 and 103,411

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Solution

The fourth proportional to 203,179.51, 304,956.38 and 103,411 is: 155,211.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,179.51 : 304,956.38 = 103,411 : x
  2. Step 2: Convert to fraction form
    203,179.51/304,956.38 = 103,411/x
  3. Step 3: Cross multiply
    203,179.51x = 304,956.38 × 103,411
  4. Step 4: Simplify right side
    203,179.51x = 31,535,844,212.18
  5. Step 5: Solve for x
    x = 31,535,844,212.18/203,179.51
  6. Step 6: Final answer
    x = 155,211.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.