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Finding the Fourth Proportional to 203,220.78, 305,020.29 and 103,455.66

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Solution

The fourth proportional to 203,220.78, 305,020.29 and 103,455.66 is: 155,279.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,220.78 : 305,020.29 = 103,455.66 : x
  2. Step 2: Convert to fraction form
    203,220.78/305,020.29 = 103,455.66/x
  3. Step 3: Cross multiply
    203,220.78x = 305,020.29 × 103,455.66
  4. Step 4: Simplify right side
    203,220.78x = 31,556,075,415.34
  5. Step 5: Solve for x
    x = 31,556,075,415.34/203,220.78
  6. Step 6: Final answer
    x = 155,279.77

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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.