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Finding the Fourth Proportional to 207,991.92, 312,054.66 and 144,219

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Solution

The fourth proportional to 207,991.92, 312,054.66 and 144,219 is: 216,374.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,991.92 : 312,054.66 = 144,219 : x
  2. Step 2: Convert to fraction form
    207,991.92/312,054.66 = 144,219/x
  3. Step 3: Cross multiply
    207,991.92x = 312,054.66 × 144,219
  4. Step 4: Simplify right side
    207,991.92x = 45,004,211,010.54
  5. Step 5: Solve for x
    x = 45,004,211,010.54/207,991.92
  6. Step 6: Final answer
    x = 216,374.80

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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.