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Finding the Fourth Proportional to 75,624.44, 113,436.66 and 20,219

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Solution

The fourth proportional to 75,624.44, 113,436.66 and 20,219 is: 30,328.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,624.44 : 113,436.66 = 20,219 : x
  2. Step 2: Convert to fraction form
    75,624.44/113,436.66 = 20,219/x
  3. Step 3: Cross multiply
    75,624.44x = 113,436.66 × 20,219
  4. Step 4: Simplify right side
    75,624.44x = 2,293,575,828.54
  5. Step 5: Solve for x
    x = 2,293,575,828.54/75,624.44
  6. Step 6: Final answer
    x = 30,328.50

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1.5x scale

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.