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Finding the Fourth Proportional to 203,048.81, 280,210.67 and 111,166.56

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Solution

The fourth proportional to 203,048.81, 280,210.67 and 111,166.56 is: 153,411.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,048.81 : 280,210.67 = 111,166.56 : x
  2. Step 2: Convert to fraction form
    203,048.81/280,210.67 = 111,166.56/x
  3. Step 3: Cross multiply
    203,048.81x = 280,210.67 × 111,166.56
  4. Step 4: Simplify right side
    203,048.81x = 31,150,055,069.45
  5. Step 5: Solve for x
    x = 31,150,055,069.45/203,048.81
  6. Step 6: Final answer
    x = 153,411.66

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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.