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Finding the Fourth Proportional to 209,850.70, 314,739.60 and 76,662.40

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Solution

The fourth proportional to 209,850.70, 314,739.60 and 76,662.40 is: 114,980.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,850.70 : 314,739.60 = 76,662.40 : x
  2. Step 2: Convert to fraction form
    209,850.70/314,739.60 = 76,662.40/x
  3. Step 3: Cross multiply
    209,850.70x = 314,739.60 × 76,662.40
  4. Step 4: Simplify right side
    209,850.70x = 24,128,693,111.04
  5. Step 5: Solve for x
    x = 24,128,693,111.04/209,850.70
  6. Step 6: Final answer
    x = 114,980.28

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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.