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Finding the Fourth Proportional to 158,268.06, 218,409.21 and 85,671

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Solution

The fourth proportional to 158,268.06, 218,409.21 and 85,671 is: 118,225.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,268.06 : 218,409.21 = 85,671 : x
  2. Step 2: Convert to fraction form
    158,268.06/218,409.21 = 85,671/x
  3. Step 3: Cross multiply
    158,268.06x = 218,409.21 × 85,671
  4. Step 4: Simplify right side
    158,268.06x = 18,711,335,429.91
  5. Step 5: Solve for x
    x = 18,711,335,429.91/158,268.06
  6. Step 6: Final answer
    x = 118,225.59

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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.