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Finding the Fourth Proportional to 203,339.88, 305,048.20 and 77,017.96

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Solution

The fourth proportional to 203,339.88, 305,048.20 and 77,017.96 is: 115,541.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,339.88 : 305,048.20 = 77,017.96 : x
  2. Step 2: Convert to fraction form
    203,339.88/305,048.20 = 77,017.96/x
  3. Step 3: Cross multiply
    203,339.88x = 305,048.20 × 77,017.96
  4. Step 4: Simplify right side
    203,339.88x = 23,494,190,065.67
  5. Step 5: Solve for x
    x = 23,494,190,065.67/203,339.88
  6. Step 6: Final answer
    x = 115,541.48

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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.