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Finding the Fourth Proportional to 203,263.64, 280,513.46 and 122,689.47

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Solution

The fourth proportional to 203,263.64, 280,513.46 and 122,689.47 is: 169,317.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,263.64 : 280,513.46 = 122,689.47 : x
  2. Step 2: Convert to fraction form
    203,263.64/280,513.46 = 122,689.47/x
  3. Step 3: Cross multiply
    203,263.64x = 280,513.46 × 122,689.47
  4. Step 4: Simplify right side
    203,263.64x = 34,416,047,121.82
  5. Step 5: Solve for x
    x = 34,416,047,121.82/203,263.64
  6. Step 6: Final answer
    x = 169,317.29

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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.