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Finding the Fourth Proportional to 275,019.68, 412,529.88 and 75,341.81

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Solution

The fourth proportional to 275,019.68, 412,529.88 and 75,341.81 is: 113,012.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,019.68 : 412,529.88 = 75,341.81 : x
  2. Step 2: Convert to fraction form
    275,019.68/412,529.88 = 75,341.81/x
  3. Step 3: Cross multiply
    275,019.68x = 412,529.88 × 75,341.81
  4. Step 4: Simplify right side
    275,019.68x = 31,080,747,838.28
  5. Step 5: Solve for x
    x = 31,080,747,838.28/275,019.68
  6. Step 6: Final answer
    x = 113,012.81

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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.