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Finding the Fourth Proportional to 48,645.78, 72,968.67 and 11,709.78

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Solution

The fourth proportional to 48,645.78, 72,968.67 and 11,709.78 is: 17,564.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,645.78 : 72,968.67 = 11,709.78 : x
  2. Step 2: Convert to fraction form
    48,645.78/72,968.67 = 11,709.78/x
  3. Step 3: Cross multiply
    48,645.78x = 72,968.67 × 11,709.78
  4. Step 4: Simplify right side
    48,645.78x = 854,447,072.59
  5. Step 5: Solve for x
    x = 854,447,072.59/48,645.78
  6. Step 6: Final answer
    x = 17,564.67

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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.