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Finding the Fourth Proportional to 342,608.00, 513,961.34 and 105,969.06

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Solution

The fourth proportional to 342,608.00, 513,961.34 and 105,969.06 is: 158,968.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,608.00 : 513,961.34 = 105,969.06 : x
  2. Step 2: Convert to fraction form
    342,608.00/513,961.34 = 105,969.06/x
  3. Step 3: Cross multiply
    342,608.00x = 513,961.34 × 105,969.06
  4. Step 4: Simplify right side
    342,608.00x = 54,463,999,546.30
  5. Step 5: Solve for x
    x = 54,463,999,546.30/342,608.00
  6. Step 6: Final answer
    x = 158,968.85

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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.