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Finding the Fourth Proportional to 202,879.88, 279,804.34 and 152,012.08

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Solution

The fourth proportional to 202,879.88, 279,804.34 and 152,012.08 is: 209,649.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,879.88 : 279,804.34 = 152,012.08 : x
  2. Step 2: Convert to fraction form
    202,879.88/279,804.34 = 152,012.08/x
  3. Step 3: Cross multiply
    202,879.88x = 279,804.34 × 152,012.08
  4. Step 4: Simplify right side
    202,879.88x = 42,533,639,716.43
  5. Step 5: Solve for x
    x = 42,533,639,716.43/202,879.88
  6. Step 6: Final answer
    x = 209,649.37

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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.