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Finding the Fourth Proportional to 46,251, 69,388.02 and 13,419

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Solution

The fourth proportional to 46,251, 69,388.02 and 13,419 is: 20,131.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,251 : 69,388.02 = 13,419 : x
  2. Step 2: Convert to fraction form
    46,251/69,388.02 = 13,419/x
  3. Step 3: Cross multiply
    46,251x = 69,388.02 × 13,419
  4. Step 4: Simplify right side
    46,251x = 931,117,840.38
  5. Step 5: Solve for x
    x = 931,117,840.38/46,251
  6. Step 6: Final answer
    x = 20,131.84

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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.