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Finding the Fourth Proportional to 259,089.30, 388,633.94 and 101,207.03

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Solution

The fourth proportional to 259,089.30, 388,633.94 and 101,207.03 is: 151,810.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,089.30 : 388,633.94 = 101,207.03 : x
  2. Step 2: Convert to fraction form
    259,089.30/388,633.94 = 101,207.03/x
  3. Step 3: Cross multiply
    259,089.30x = 388,633.94 × 101,207.03
  4. Step 4: Simplify right side
    259,089.30x = 39,332,484,375.39
  5. Step 5: Solve for x
    x = 39,332,484,375.39/259,089.30
  6. Step 6: Final answer
    x = 151,810.53

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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.