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Finding the Fourth Proportional to 75,576.56, 104,295.76 and 42,042.56

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Solution

The fourth proportional to 75,576.56, 104,295.76 and 42,042.56 is: 58,018.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,576.56 : 104,295.76 = 42,042.56 : x
  2. Step 2: Convert to fraction form
    75,576.56/104,295.76 = 42,042.56/x
  3. Step 3: Cross multiply
    75,576.56x = 104,295.76 × 42,042.56
  4. Step 4: Simplify right side
    75,576.56x = 4,384,860,903.18
  5. Step 5: Solve for x
    x = 4,384,860,903.18/75,576.56
  6. Step 6: Final answer
    x = 58,018.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.