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Finding the Fourth Proportional to 105,674.31, 145,877.09 and 73,967.67

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Solution

The fourth proportional to 105,674.31, 145,877.09 and 73,967.67 is: 102,107.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,674.31 : 145,877.09 = 73,967.67 : x
  2. Step 2: Convert to fraction form
    105,674.31/145,877.09 = 73,967.67/x
  3. Step 3: Cross multiply
    105,674.31x = 145,877.09 × 73,967.67
  4. Step 4: Simplify right side
    105,674.31x = 10,790,188,083.84
  5. Step 5: Solve for x
    x = 10,790,188,083.84/105,674.31
  6. Step 6: Final answer
    x = 102,107.96

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1.5x scale

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.