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Finding the Fourth Proportional to 259,855.70, 389,782.94 and 101,973.74

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Solution

The fourth proportional to 259,855.70, 389,782.94 and 101,973.74 is: 152,960.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,855.70 : 389,782.94 = 101,973.74 : x
  2. Step 2: Convert to fraction form
    259,855.70/389,782.94 = 101,973.74/x
  3. Step 3: Cross multiply
    259,855.70x = 389,782.94 × 101,973.74
  4. Step 4: Simplify right side
    259,855.70x = 39,747,621,721.21
  5. Step 5: Solve for x
    x = 39,747,621,721.21/259,855.70
  6. Step 6: Final answer
    x = 152,960.36

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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.