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Finding the Fourth Proportional to 104,025.76, 155,978.42 and 40,771.96

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Solution

The fourth proportional to 104,025.76, 155,978.42 and 40,771.96 is: 61,134.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,025.76 : 155,978.42 = 40,771.96 : x
  2. Step 2: Convert to fraction form
    104,025.76/155,978.42 = 40,771.96/x
  3. Step 3: Cross multiply
    104,025.76x = 155,978.42 × 40,771.96
  4. Step 4: Simplify right side
    104,025.76x = 6,359,545,901.10
  5. Step 5: Solve for x
    x = 6,359,545,901.10/104,025.76
  6. Step 6: Final answer
    x = 61,134.34

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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.