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Finding the Fourth Proportional to 128,314.14, 177,077.43 and 71,727.90

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Solution

The fourth proportional to 128,314.14, 177,077.43 and 71,727.90 is: 98,986.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,314.14 : 177,077.43 = 71,727.90 : x
  2. Step 2: Convert to fraction form
    128,314.14/177,077.43 = 71,727.90/x
  3. Step 3: Cross multiply
    128,314.14x = 177,077.43 × 71,727.90
  4. Step 4: Simplify right side
    128,314.14x = 12,701,392,191.30
  5. Step 5: Solve for x
    x = 12,701,392,191.30/128,314.14
  6. Step 6: Final answer
    x = 98,986.69

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