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Finding the Fourth Proportional to 69,458, 104,189.88 and 20,210

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Solution

The fourth proportional to 69,458, 104,189.88 and 20,210 is: 30,315.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,458 : 104,189.88 = 20,210 : x
  2. Step 2: Convert to fraction form
    69,458/104,189.88 = 20,210/x
  3. Step 3: Cross multiply
    69,458x = 104,189.88 × 20,210
  4. Step 4: Simplify right side
    69,458x = 2,105,677,474.80
  5. Step 5: Solve for x
    x = 2,105,677,474.80/69,458
  6. Step 6: Final answer
    x = 30,315.84

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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.