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Finding the Fourth Proportional to 105,873, 146,117.70 and 61,161

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Solution

The fourth proportional to 105,873, 146,117.70 and 61,161 is: 84,409.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,873 : 146,117.70 = 61,161 : x
  2. Step 2: Convert to fraction form
    105,873/146,117.70 = 61,161/x
  3. Step 3: Cross multiply
    105,873x = 146,117.70 × 61,161
  4. Step 4: Simplify right side
    105,873x = 8,936,704,649.70
  5. Step 5: Solve for x
    x = 8,936,704,649.70/105,873
  6. Step 6: Final answer
    x = 84,409.67

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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.