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Finding the Fourth Proportional to 106,506.36, 147,600.09 and 105,003

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Solution

The fourth proportional to 106,506.36, 147,600.09 and 105,003 is: 145,516.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,506.36 : 147,600.09 = 105,003 : x
  2. Step 2: Convert to fraction form
    106,506.36/147,600.09 = 105,003/x
  3. Step 3: Cross multiply
    106,506.36x = 147,600.09 × 105,003
  4. Step 4: Simplify right side
    106,506.36x = 15,498,452,250.27
  5. Step 5: Solve for x
    x = 15,498,452,250.27/106,506.36
  6. Step 6: Final answer
    x = 145,516.68

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.