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Finding the Fourth Proportional to 76,769.96, 115,133.07 and 48,647.57

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Solution

The fourth proportional to 76,769.96, 115,133.07 and 48,647.57 is: 72,957.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,769.96 : 115,133.07 = 48,647.57 : x
  2. Step 2: Convert to fraction form
    76,769.96/115,133.07 = 48,647.57/x
  3. Step 3: Cross multiply
    76,769.96x = 115,133.07 × 48,647.57
  4. Step 4: Simplify right side
    76,769.96x = 5,600,944,082.14
  5. Step 5: Solve for x
    x = 5,600,944,082.14/76,769.96
  6. Step 6: Final answer
    x = 72,957.50

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.