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Finding the Fourth Proportional to 342,534.87, 513,851.45 and 105,896.03

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Solution

The fourth proportional to 342,534.87, 513,851.45 and 105,896.03 is: 158,859.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,534.87 : 513,851.45 = 105,896.03 : x
  2. Step 2: Convert to fraction form
    342,534.87/513,851.45 = 105,896.03/x
  3. Step 3: Cross multiply
    342,534.87x = 513,851.45 × 105,896.03
  4. Step 4: Simplify right side
    342,534.87x = 54,414,825,466.01
  5. Step 5: Solve for x
    x = 54,414,825,466.01/342,534.87
  6. Step 6: Final answer
    x = 158,859.23

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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.