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Finding the Fourth Proportional to 41,140.08, 61,713 and 20,358

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Solution

The fourth proportional to 41,140.08, 61,713 and 20,358 is: 30,538.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,140.08 : 61,713 = 20,358 : x
  2. Step 2: Convert to fraction form
    41,140.08/61,713 = 20,358/x
  3. Step 3: Cross multiply
    41,140.08x = 61,713 × 20,358
  4. Step 4: Simplify right side
    41,140.08x = 1,256,353,254
  5. Step 5: Solve for x
    x = 1,256,353,254/41,140.08
  6. Step 6: Final answer
    x = 30,538.43

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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.