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Finding the Fourth Proportional to 161,991.96, 223,472.70 and 105,382.68

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Solution

The fourth proportional to 161,991.96, 223,472.70 and 105,382.68 is: 145,378.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,991.96 : 223,472.70 = 105,382.68 : x
  2. Step 2: Convert to fraction form
    161,991.96/223,472.70 = 105,382.68/x
  3. Step 3: Cross multiply
    161,991.96x = 223,472.70 × 105,382.68
  4. Step 4: Simplify right side
    161,991.96x = 23,550,152,032.84
  5. Step 5: Solve for x
    x = 23,550,152,032.84/161,991.96
  6. Step 6: Final answer
    x = 145,378.52

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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.