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Finding the Fourth Proportional to 127,082.84, 175,376.90 and 76,097.80

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Solution

The fourth proportional to 127,082.84, 175,376.90 and 76,097.80 is: 105,016.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,082.84 : 175,376.90 = 76,097.80 : x
  2. Step 2: Convert to fraction form
    127,082.84/175,376.90 = 76,097.80/x
  3. Step 3: Cross multiply
    127,082.84x = 175,376.90 × 76,097.80
  4. Step 4: Simplify right side
    127,082.84x = 13,345,796,260.82
  5. Step 5: Solve for x
    x = 13,345,796,260.82/127,082.84
  6. Step 6: Final answer
    x = 105,016.51

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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.