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Finding the Fourth Proportional to 203,596.07, 280,970.07 and 123,008.02

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Solution

The fourth proportional to 203,596.07, 280,970.07 and 123,008.02 is: 169,755.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,596.07 : 280,970.07 = 123,008.02 : x
  2. Step 2: Convert to fraction form
    203,596.07/280,970.07 = 123,008.02/x
  3. Step 3: Cross multiply
    203,596.07x = 280,970.07 × 123,008.02
  4. Step 4: Simplify right side
    203,596.07x = 34,561,570,826.26
  5. Step 5: Solve for x
    x = 34,561,570,826.26/203,596.07
  6. Step 6: Final answer
    x = 169,755.59

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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.