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Finding the Fourth Proportional to 45,406, 68,109 and 12,574

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Solution

The fourth proportional to 45,406, 68,109 and 12,574 is: 18,861

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,406 : 68,109 = 12,574 : x
  2. Step 2: Convert to fraction form
    45,406/68,109 = 12,574/x
  3. Step 3: Cross multiply
    45,406x = 68,109 × 12,574
  4. Step 4: Simplify right side
    45,406x = 856,402,566
  5. Step 5: Solve for x
    x = 856,402,566/45,406
  6. Step 6: Final answer
    x = 18,861

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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.