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Finding the Fourth Proportional to 203,051.64, 279,917.73 and 142,434.21

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Solution

The fourth proportional to 203,051.64, 279,917.73 and 142,434.21 is: 196,353.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,051.64 : 279,917.73 = 142,434.21 : x
  2. Step 2: Convert to fraction form
    203,051.64/279,917.73 = 142,434.21/x
  3. Step 3: Cross multiply
    203,051.64x = 279,917.73 × 142,434.21
  4. Step 4: Simplify right side
    203,051.64x = 39,869,860,737.54
  5. Step 5: Solve for x
    x = 39,869,860,737.54/203,051.64
  6. Step 6: Final answer
    x = 196,353.31

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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.