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Finding the Fourth Proportional to 89,478, 134,217 and 23,814

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Solution

The fourth proportional to 89,478, 134,217 and 23,814 is: 35,721

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,478 : 134,217 = 23,814 : x
  2. Step 2: Convert to fraction form
    89,478/134,217 = 23,814/x
  3. Step 3: Cross multiply
    89,478x = 134,217 × 23,814
  4. Step 4: Simplify right side
    89,478x = 3,196,243,638
  5. Step 5: Solve for x
    x = 3,196,243,638/89,478
  6. Step 6: Final answer
    x = 35,721

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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.