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Finding the Fourth Proportional to 140,303.64, 210,449.10 and 51,550.65

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Solution

The fourth proportional to 140,303.64, 210,449.10 and 51,550.65 is: 77,323.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,303.64 : 210,449.10 = 51,550.65 : x
  2. Step 2: Convert to fraction form
    140,303.64/210,449.10 = 51,550.65/x
  3. Step 3: Cross multiply
    140,303.64x = 210,449.10 × 51,550.65
  4. Step 4: Simplify right side
    140,303.64x = 10,848,787,896.92
  5. Step 5: Solve for x
    x = 10,848,787,896.92/140,303.64
  6. Step 6: Final answer
    x = 77,323.64

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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.