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Finding the Fourth Proportional to 103,969.70, 155,964.37 and 29,089.86

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Solution

The fourth proportional to 103,969.70, 155,964.37 and 29,089.86 is: 43,637.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,969.70 : 155,964.37 = 29,089.86 : x
  2. Step 2: Convert to fraction form
    103,969.70/155,964.37 = 29,089.86/x
  3. Step 3: Cross multiply
    103,969.70x = 155,964.37 × 29,089.86
  4. Step 4: Simplify right side
    103,969.70x = 4,536,981,688.29
  5. Step 5: Solve for x
    x = 4,536,981,688.29/103,969.70
  6. Step 6: Final answer
    x = 43,637.54

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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.