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Finding the Fourth Proportional to 209,486.98, 314,279.68 and 69,245.60

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Solution

The fourth proportional to 209,486.98, 314,279.68 and 69,245.60 is: 103,884.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,486.98 : 314,279.68 = 69,245.60 : x
  2. Step 2: Convert to fraction form
    209,486.98/314,279.68 = 69,245.60/x
  3. Step 3: Cross multiply
    209,486.98x = 314,279.68 × 69,245.60
  4. Step 4: Simplify right side
    209,486.98x = 21,762,485,009.41
  5. Step 5: Solve for x
    x = 21,762,485,009.41/209,486.98
  6. Step 6: Final answer
    x = 103,884.67

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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.