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Finding the Fourth Proportional to 218,382.86, 301,368.22 and 122,889.65

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Solution

The fourth proportional to 218,382.86, 301,368.22 and 122,889.65 is: 169,587.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,382.86 : 301,368.22 = 122,889.65 : x
  2. Step 2: Convert to fraction form
    218,382.86/301,368.22 = 122,889.65/x
  3. Step 3: Cross multiply
    218,382.86x = 301,368.22 × 122,889.65
  4. Step 4: Simplify right side
    218,382.86x = 37,035,033,262.86
  5. Step 5: Solve for x
    x = 37,035,033,262.86/218,382.86
  6. Step 6: Final answer
    x = 169,587.64

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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.