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Finding the Fourth Proportional to 68,130, 102,200.76 and 18,882

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Solution

The fourth proportional to 68,130, 102,200.76 and 18,882 is: 28,324.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,130 : 102,200.76 = 18,882 : x
  2. Step 2: Convert to fraction form
    68,130/102,200.76 = 18,882/x
  3. Step 3: Cross multiply
    68,130x = 102,200.76 × 18,882
  4. Step 4: Simplify right side
    68,130x = 1,929,754,750.32
  5. Step 5: Solve for x
    x = 1,929,754,750.32/68,130
  6. Step 6: Final answer
    x = 28,324.60

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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.