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Finding the Fourth Proportional to 110,775.86, 166,145.10 and 31,871.78

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Solution

The fourth proportional to 110,775.86, 166,145.10 and 31,871.78 is: 47,802.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,775.86 : 166,145.10 = 31,871.78 : x
  2. Step 2: Convert to fraction form
    110,775.86/166,145.10 = 31,871.78/x
  3. Step 3: Cross multiply
    110,775.86x = 166,145.10 × 31,871.78
  4. Step 4: Simplify right side
    110,775.86x = 5,295,340,075.28
  5. Step 5: Solve for x
    x = 5,295,340,075.28/110,775.86
  6. Step 6: Final answer
    x = 47,802.29

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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.