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Finding the Fourth Proportional to 67,628, 101,442.12 and 18,380

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Solution

The fourth proportional to 67,628, 101,442.12 and 18,380 is: 27,570.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,628 : 101,442.12 = 18,380 : x
  2. Step 2: Convert to fraction form
    67,628/101,442.12 = 18,380/x
  3. Step 3: Cross multiply
    67,628x = 101,442.12 × 18,380
  4. Step 4: Simplify right side
    67,628x = 1,864,506,165.60
  5. Step 5: Solve for x
    x = 1,864,506,165.60/67,628
  6. Step 6: Final answer
    x = 27,570.03

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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.