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Finding the Fourth Proportional to 261,782.40, 392,558.40 and 103,958.40

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Solution

The fourth proportional to 261,782.40, 392,558.40 and 103,958.40 is: 155,891.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,782.40 : 392,558.40 = 103,958.40 : x
  2. Step 2: Convert to fraction form
    261,782.40/392,558.40 = 103,958.40/x
  3. Step 3: Cross multiply
    261,782.40x = 392,558.40 × 103,958.40
  4. Step 4: Simplify right side
    261,782.40x = 40,809,743,170.56
  5. Step 5: Solve for x
    x = 40,809,743,170.56/261,782.40
  6. Step 6: Final answer
    x = 155,891.85

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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.