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Finding the Fourth Proportional to 68,201, 102,301.50 and 18,953

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Solution

The fourth proportional to 68,201, 102,301.50 and 18,953 is: 28,429.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,201 : 102,301.50 = 18,953 : x
  2. Step 2: Convert to fraction form
    68,201/102,301.50 = 18,953/x
  3. Step 3: Cross multiply
    68,201x = 102,301.50 × 18,953
  4. Step 4: Simplify right side
    68,201x = 1,938,920,329.50
  5. Step 5: Solve for x
    x = 1,938,920,329.50/68,201
  6. Step 6: Final answer
    x = 28,429.50

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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.