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Finding the Fourth Proportional to 71,210.30, 106,806.18 and 18,623.84

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Solution

The fourth proportional to 71,210.30, 106,806.18 and 18,623.84 is: 27,933.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,210.30 : 106,806.18 = 18,623.84 : x
  2. Step 2: Convert to fraction form
    71,210.30/106,806.18 = 18,623.84/x
  3. Step 3: Cross multiply
    71,210.30x = 106,806.18 × 18,623.84
  4. Step 4: Simplify right side
    71,210.30x = 1,989,141,207.33
  5. Step 5: Solve for x
    x = 1,989,141,207.33/71,210.30
  6. Step 6: Final answer
    x = 27,933.34

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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.