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Finding the Fourth Proportional to 111,208.10, 166,812.15 and 105,764.90

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Solution

The fourth proportional to 111,208.10, 166,812.15 and 105,764.90 is: 158,647.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,208.10 : 166,812.15 = 105,764.90 : x
  2. Step 2: Convert to fraction form
    111,208.10/166,812.15 = 105,764.90/x
  3. Step 3: Cross multiply
    111,208.10x = 166,812.15 × 105,764.90
  4. Step 4: Simplify right side
    111,208.10x = 17,642,870,363.54
  5. Step 5: Solve for x
    x = 17,642,870,363.54/111,208.10
  6. Step 6: Final answer
    x = 158,647.35

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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.