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Finding the Fourth Proportional to 103,816.10, 145,736.20 and 103,816.10

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Solution

The fourth proportional to 103,816.10, 145,736.20 and 103,816.10 is: 145,736.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,816.10 : 145,736.20 = 103,816.10 : x
  2. Step 2: Convert to fraction form
    103,816.10/145,736.20 = 103,816.10/x
  3. Step 3: Cross multiply
    103,816.10x = 145,736.20 × 103,816.10
  4. Step 4: Simplify right side
    103,816.10x = 15,129,763,912.82
  5. Step 5: Solve for x
    x = 15,129,763,912.82/103,816.10
  6. Step 6: Final answer
    x = 145,736.20

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.