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Finding the Fourth Proportional to 203,424.02, 305,094.28 and 77,020.76

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Solution

The fourth proportional to 203,424.02, 305,094.28 and 77,020.76 is: 115,515.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,424.02 : 305,094.28 = 77,020.76 : x
  2. Step 2: Convert to fraction form
    203,424.02/305,094.28 = 77,020.76/x
  3. Step 3: Cross multiply
    203,424.02x = 305,094.28 × 77,020.76
  4. Step 4: Simplify right side
    203,424.02x = 23,498,593,317.25
  5. Step 5: Solve for x
    x = 23,498,593,317.25/203,424.02
  6. Step 6: Final answer
    x = 115,515.33

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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.