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Finding the Fourth Proportional to 45,606, 68,409 and 12,323.51

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Solution

The fourth proportional to 45,606, 68,409 and 12,323.51 is: 18,485.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,606 : 68,409 = 12,323.51 : x
  2. Step 2: Convert to fraction form
    45,606/68,409 = 12,323.51/x
  3. Step 3: Cross multiply
    45,606x = 68,409 × 12,323.51
  4. Step 4: Simplify right side
    45,606x = 843,038,995.59
  5. Step 5: Solve for x
    x = 843,038,995.59/45,606
  6. Step 6: Final answer
    x = 18,485.27

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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.