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Finding the Fourth Proportional to 103,978.83, 155,968.21 and 40,828.67

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Solution

The fourth proportional to 103,978.83, 155,968.21 and 40,828.67 is: 61,242.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,978.83 : 155,968.21 = 40,828.67 : x
  2. Step 2: Convert to fraction form
    103,978.83/155,968.21 = 40,828.67/x
  3. Step 3: Cross multiply
    103,978.83x = 155,968.21 × 40,828.67
  4. Step 4: Simplify right side
    103,978.83x = 6,367,974,576.58
  5. Step 5: Solve for x
    x = 6,367,974,576.58/103,978.83
  6. Step 6: Final answer
    x = 61,242.99

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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.