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Finding the Fourth Proportional to 75,783.55, 113,675.70 and 19,619.72

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Solution

The fourth proportional to 75,783.55, 113,675.70 and 19,619.72 is: 29,429.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,783.55 : 113,675.70 = 19,619.72 : x
  2. Step 2: Convert to fraction form
    75,783.55/113,675.70 = 19,619.72/x
  3. Step 3: Cross multiply
    75,783.55x = 113,675.70 × 19,619.72
  4. Step 4: Simplify right side
    75,783.55x = 2,230,284,738.33
  5. Step 5: Solve for x
    x = 2,230,284,738.33/75,783.55
  6. Step 6: Final answer
    x = 29,429.67

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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.