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Finding the Fourth Proportional to 289,687.83, 434,550.81 and 100,166.51

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Solution

The fourth proportional to 289,687.83, 434,550.81 and 100,166.51 is: 150,256.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,687.83 : 434,550.81 = 100,166.51 : x
  2. Step 2: Convert to fraction form
    289,687.83/434,550.81 = 100,166.51/x
  3. Step 3: Cross multiply
    289,687.83x = 434,550.81 × 100,166.51
  4. Step 4: Simplify right side
    289,687.83x = 43,527,438,055.37
  5. Step 5: Solve for x
    x = 43,527,438,055.37/289,687.83
  6. Step 6: Final answer
    x = 150,256.36

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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.