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Finding the Fourth Proportional to 128,321.12, 177,088.64 and 71,732.48

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Solution

The fourth proportional to 128,321.12, 177,088.64 and 71,732.48 is: 98,993.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,321.12 : 177,088.64 = 71,732.48 : x
  2. Step 2: Convert to fraction form
    128,321.12/177,088.64 = 71,732.48/x
  3. Step 3: Cross multiply
    128,321.12x = 177,088.64 × 71,732.48
  4. Step 4: Simplify right side
    128,321.12x = 12,703,007,327.03
  5. Step 5: Solve for x
    x = 12,703,007,327.03/128,321.12
  6. Step 6: Final answer
    x = 98,993.89

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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.