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Finding the Fourth Proportional to 146,051.28, 201,550.32 and 78,983.28

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Solution

The fourth proportional to 146,051.28, 201,550.32 and 78,983.28 is: 108,996.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,051.28 : 201,550.32 = 78,983.28 : x
  2. Step 2: Convert to fraction form
    146,051.28/201,550.32 = 78,983.28/x
  3. Step 3: Cross multiply
    146,051.28x = 201,550.32 × 78,983.28
  4. Step 4: Simplify right side
    146,051.28x = 15,919,105,358.65
  5. Step 5: Solve for x
    x = 15,919,105,358.65/146,051.28
  6. Step 6: Final answer
    x = 108,996.68

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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.