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Finding the Fourth Proportional to 100,390.98, 150,488.54 and 47,786.34

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Solution

The fourth proportional to 100,390.98, 150,488.54 and 47,786.34 is: 71,632.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,390.98 : 150,488.54 = 47,786.34 : x
  2. Step 2: Convert to fraction form
    100,390.98/150,488.54 = 47,786.34/x
  3. Step 3: Cross multiply
    100,390.98x = 150,488.54 × 47,786.34
  4. Step 4: Simplify right side
    100,390.98x = 7,191,296,538.54
  5. Step 5: Solve for x
    x = 7,191,296,538.54/100,390.98
  6. Step 6: Final answer
    x = 71,632.90

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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.