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Finding the Fourth Proportional to 144,900, 199,893.96 and 102,481.92

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Solution

The fourth proportional to 144,900, 199,893.96 and 102,481.92 is: 141,376.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,900 : 199,893.96 = 102,481.92 : x
  2. Step 2: Convert to fraction form
    144,900/199,893.96 = 102,481.92/x
  3. Step 3: Cross multiply
    144,900x = 199,893.96 × 102,481.92
  4. Step 4: Simplify right side
    144,900x = 20,485,516,817.20
  5. Step 5: Solve for x
    x = 20,485,516,817.20/144,900
  6. Step 6: Final answer
    x = 141,376.93

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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.