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Finding the Fourth Proportional to 209,487.12, 314,279.88 and 69,245.74

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Solution

The fourth proportional to 209,487.12, 314,279.88 and 69,245.74 is: 103,884.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,487.12 : 314,279.88 = 69,245.74 : x
  2. Step 2: Convert to fraction form
    209,487.12/314,279.88 = 69,245.74/x
  3. Step 3: Cross multiply
    209,487.12x = 314,279.88 × 69,245.74
  4. Step 4: Simplify right side
    209,487.12x = 21,762,542,857.71
  5. Step 5: Solve for x
    x = 21,762,542,857.71/209,487.12
  6. Step 6: Final answer
    x = 103,884.87

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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.