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Finding the Fourth Proportional to 209,351.62, 314,028.60 and 51,578.92

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Solution

The fourth proportional to 209,351.62, 314,028.60 and 51,578.92 is: 77,368.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,351.62 : 314,028.60 = 51,578.92 : x
  2. Step 2: Convert to fraction form
    209,351.62/314,028.60 = 51,578.92/x
  3. Step 3: Cross multiply
    209,351.62x = 314,028.60 × 51,578.92
  4. Step 4: Simplify right side
    209,351.62x = 16,197,256,037.11
  5. Step 5: Solve for x
    x = 16,197,256,037.11/209,351.62
  6. Step 6: Final answer
    x = 77,368.67

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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.