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Finding the Fourth Proportional to 89,810, 134,734.44 and 34,406

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Solution

The fourth proportional to 89,810, 134,734.44 and 34,406 is: 51,616.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,810 : 134,734.44 = 34,406 : x
  2. Step 2: Convert to fraction form
    89,810/134,734.44 = 34,406/x
  3. Step 3: Cross multiply
    89,810x = 134,734.44 × 34,406
  4. Step 4: Simplify right side
    89,810x = 4,635,673,142.64
  5. Step 5: Solve for x
    x = 4,635,673,142.64/89,810
  6. Step 6: Final answer
    x = 51,616.45

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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.