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Finding the Fourth Proportional to 213,120.75, 319,686.89 and 65,376.75

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Solution

The fourth proportional to 213,120.75, 319,686.89 and 65,376.75 is: 98,066.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,120.75 : 319,686.89 = 65,376.75 : x
  2. Step 2: Convert to fraction form
    213,120.75/319,686.89 = 65,376.75/x
  3. Step 3: Cross multiply
    213,120.75x = 319,686.89 × 65,376.75
  4. Step 4: Simplify right side
    213,120.75x = 20,900,089,558.92
  5. Step 5: Solve for x
    x = 20,900,089,558.92/213,120.75
  6. Step 6: Final answer
    x = 98,066.89

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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.