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Finding the Fourth Proportional to 258,834.70, 388,021.20 and 101,026.45

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Solution

The fourth proportional to 258,834.70, 388,021.20 and 101,026.45 is: 151,449.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,834.70 : 388,021.20 = 101,026.45 : x
  2. Step 2: Convert to fraction form
    258,834.70/388,021.20 = 101,026.45/x
  3. Step 3: Cross multiply
    258,834.70x = 388,021.20 × 101,026.45
  4. Step 4: Simplify right side
    258,834.70x = 39,200,404,360.74
  5. Step 5: Solve for x
    x = 39,200,404,360.74/258,834.70
  6. Step 6: Final answer
    x = 151,449.57

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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.