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Finding the Fourth Proportional to 105,998.50, 159,070.65 and 43,669

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Solution

The fourth proportional to 105,998.50, 159,070.65 and 43,669 is: 65,533.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,998.50 : 159,070.65 = 43,669 : x
  2. Step 2: Convert to fraction form
    105,998.50/159,070.65 = 43,669/x
  3. Step 3: Cross multiply
    105,998.50x = 159,070.65 × 43,669
  4. Step 4: Simplify right side
    105,998.50x = 6,946,456,214.85
  5. Step 5: Solve for x
    x = 6,946,456,214.85/105,998.50
  6. Step 6: Final answer
    x = 65,533.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.