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Finding the Fourth Proportional to 30,201.85, 45,310.94 and 21,492.05

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Solution

The fourth proportional to 30,201.85, 45,310.94 and 21,492.05 is: 32,243.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,201.85 : 45,310.94 = 21,492.05 : x
  2. Step 2: Convert to fraction form
    30,201.85/45,310.94 = 21,492.05/x
  3. Step 3: Cross multiply
    30,201.85x = 45,310.94 × 21,492.05
  4. Step 4: Simplify right side
    30,201.85x = 973,824,880.57
  5. Step 5: Solve for x
    x = 973,824,880.57/30,201.85
  6. Step 6: Final answer
    x = 32,243.89

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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.