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Finding the Fourth Proportional to 52,048.50, 78,074.91 and 15,112.50

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Solution

The fourth proportional to 52,048.50, 78,074.91 and 15,112.50 is: 22,669.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,048.50 : 78,074.91 = 15,112.50 : x
  2. Step 2: Convert to fraction form
    52,048.50/78,074.91 = 15,112.50/x
  3. Step 3: Cross multiply
    52,048.50x = 78,074.91 × 15,112.50
  4. Step 4: Simplify right side
    52,048.50x = 1,179,907,077.38
  5. Step 5: Solve for x
    x = 1,179,907,077.38/52,048.50
  6. Step 6: Final answer
    x = 22,669.38

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.