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Finding the Fourth Proportional to 46,806, 70,209 and 18,738.69

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Solution

The fourth proportional to 46,806, 70,209 and 18,738.69 is: 28,108.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,806 : 70,209 = 18,738.69 : x
  2. Step 2: Convert to fraction form
    46,806/70,209 = 18,738.69/x
  3. Step 3: Cross multiply
    46,806x = 70,209 × 18,738.69
  4. Step 4: Simplify right side
    46,806x = 1,315,624,686.21
  5. Step 5: Solve for x
    x = 1,315,624,686.21/46,806
  6. Step 6: Final answer
    x = 28,108.04

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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.