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Finding the Fourth Proportional to 270,131.34, 405,212.86 and 101,653.10

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Solution

The fourth proportional to 270,131.34, 405,212.86 and 101,653.10 is: 152,485.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,131.34 : 405,212.86 = 101,653.10 : x
  2. Step 2: Convert to fraction form
    270,131.34/405,212.86 = 101,653.10/x
  3. Step 3: Cross multiply
    270,131.34x = 405,212.86 × 101,653.10
  4. Step 4: Simplify right side
    270,131.34x = 41,191,143,378.87
  5. Step 5: Solve for x
    x = 41,191,143,378.87/270,131.34
  6. Step 6: Final answer
    x = 152,485.61

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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.