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Finding the Fourth Proportional to 30,068, 41,495.76 and 16,820

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Solution

The fourth proportional to 30,068, 41,495.76 and 16,820 is: 23,212.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,068 : 41,495.76 = 16,820 : x
  2. Step 2: Convert to fraction form
    30,068/41,495.76 = 16,820/x
  3. Step 3: Cross multiply
    30,068x = 41,495.76 × 16,820
  4. Step 4: Simplify right side
    30,068x = 697,958,683.20
  5. Step 5: Solve for x
    x = 697,958,683.20/30,068
  6. Step 6: Final answer
    x = 23,212.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.