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Finding the Fourth Proportional to 103,698.28, 155,579.01 and 53,814.16

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Solution

The fourth proportional to 103,698.28, 155,579.01 and 53,814.16 is: 80,737.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,698.28 : 155,579.01 = 53,814.16 : x
  2. Step 2: Convert to fraction form
    103,698.28/155,579.01 = 53,814.16/x
  3. Step 3: Cross multiply
    103,698.28x = 155,579.01 × 53,814.16
  4. Step 4: Simplify right side
    103,698.28x = 8,372,353,736.78
  5. Step 5: Solve for x
    x = 8,372,353,736.78/103,698.28
  6. Step 6: Final answer
    x = 80,737.63

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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.