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Finding the Fourth Proportional to 75,573, 113,359.50 and 20,169

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Solution

The fourth proportional to 75,573, 113,359.50 and 20,169 is: 30,253.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,573 : 113,359.50 = 20,169 : x
  2. Step 2: Convert to fraction form
    75,573/113,359.50 = 20,169/x
  3. Step 3: Cross multiply
    75,573x = 113,359.50 × 20,169
  4. Step 4: Simplify right side
    75,573x = 2,286,347,755.50
  5. Step 5: Solve for x
    x = 2,286,347,755.50/75,573
  6. Step 6: Final answer
    x = 30,253.50

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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.