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Finding the Fourth Proportional to 203,421, 305,131.50 and 78,762

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Solution

The fourth proportional to 203,421, 305,131.50 and 78,762 is: 118,143

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,421 : 305,131.50 = 78,762 : x
  2. Step 2: Convert to fraction form
    203,421/305,131.50 = 78,762/x
  3. Step 3: Cross multiply
    203,421x = 305,131.50 × 78,762
  4. Step 4: Simplify right side
    203,421x = 24,032,767,203
  5. Step 5: Solve for x
    x = 24,032,767,203/203,421
  6. Step 6: Final answer
    x = 118,143

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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.