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Finding the Fourth Proportional to 100,054.63, 150,082.23 and 40,890.31

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Solution

The fourth proportional to 100,054.63, 150,082.23 and 40,890.31 is: 61,335.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,054.63 : 150,082.23 = 40,890.31 : x
  2. Step 2: Convert to fraction form
    100,054.63/150,082.23 = 40,890.31/x
  3. Step 3: Cross multiply
    100,054.63x = 150,082.23 × 40,890.31
  4. Step 4: Simplify right side
    100,054.63x = 6,136,908,910.19
  5. Step 5: Solve for x
    x = 6,136,908,910.19/100,054.63
  6. Step 6: Final answer
    x = 61,335.58

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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.