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Finding the Fourth Proportional to 45,406.50, 68,109.78 and 12,574.50

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Solution

The fourth proportional to 45,406.50, 68,109.78 and 12,574.50 is: 18,861.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,406.50 : 68,109.78 = 12,574.50 : x
  2. Step 2: Convert to fraction form
    45,406.50/68,109.78 = 12,574.50/x
  3. Step 3: Cross multiply
    45,406.50x = 68,109.78 × 12,574.50
  4. Step 4: Simplify right side
    45,406.50x = 856,446,428.61
  5. Step 5: Solve for x
    x = 856,446,428.61/45,406.50
  6. Step 6: Final answer
    x = 18,861.76

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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.