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Finding the Fourth Proportional to 209,917.60, 314,847.60 and 69,661.60

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Solution

The fourth proportional to 209,917.60, 314,847.60 and 69,661.60 is: 104,482.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,917.60 : 314,847.60 = 69,661.60 : x
  2. Step 2: Convert to fraction form
    209,917.60/314,847.60 = 69,661.60/x
  3. Step 3: Cross multiply
    209,917.60x = 314,847.60 × 69,661.60
  4. Step 4: Simplify right side
    209,917.60x = 21,932,787,572.16
  5. Step 5: Solve for x
    x = 21,932,787,572.16/209,917.60
  6. Step 6: Final answer
    x = 104,482.84

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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.