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Finding the Fourth Proportional to 41,113, 61,679.22 and 13,411

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Solution

The fourth proportional to 41,113, 61,679.22 and 13,411 is: 20,119.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,113 : 61,679.22 = 13,411 : x
  2. Step 2: Convert to fraction form
    41,113/61,679.22 = 13,411/x
  3. Step 3: Cross multiply
    41,113x = 61,679.22 × 13,411
  4. Step 4: Simplify right side
    41,113x = 827,180,019.42
  5. Step 5: Solve for x
    x = 827,180,019.42/41,113
  6. Step 6: Final answer
    x = 20,119.67

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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.