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Finding the Fourth Proportional to 259,250, 388,875 and 84,146

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Solution

The fourth proportional to 259,250, 388,875 and 84,146 is: 126,219

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,250 : 388,875 = 84,146 : x
  2. Step 2: Convert to fraction form
    259,250/388,875 = 84,146/x
  3. Step 3: Cross multiply
    259,250x = 388,875 × 84,146
  4. Step 4: Simplify right side
    259,250x = 32,722,275,750
  5. Step 5: Solve for x
    x = 32,722,275,750/259,250
  6. Step 6: Final answer
    x = 126,219

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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.