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Finding the Fourth Proportional to 105,874, 146,119.08 and 61,162

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Solution

The fourth proportional to 105,874, 146,119.08 and 61,162 is: 84,411.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,874 : 146,119.08 = 61,162 : x
  2. Step 2: Convert to fraction form
    105,874/146,119.08 = 61,162/x
  3. Step 3: Cross multiply
    105,874x = 146,119.08 × 61,162
  4. Step 4: Simplify right side
    105,874x = 8,936,935,170.96
  5. Step 5: Solve for x
    x = 8,936,935,170.96/105,874
  6. Step 6: Final answer
    x = 84,411.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.