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Finding the Fourth Proportional to 259,865.80, 389,801.40 and 91,390.84

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Solution

The fourth proportional to 259,865.80, 389,801.40 and 91,390.84 is: 137,087.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,865.80 : 389,801.40 = 91,390.84 : x
  2. Step 2: Convert to fraction form
    259,865.80/389,801.40 = 91,390.84/x
  3. Step 3: Cross multiply
    259,865.80x = 389,801.40 × 91,390.84
  4. Step 4: Simplify right side
    259,865.80x = 35,624,277,379.18
  5. Step 5: Solve for x
    x = 35,624,277,379.18/259,865.80
  6. Step 6: Final answer
    x = 137,087.21

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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.