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Finding the Fourth Proportional to 78,035.33, 107,680.50 and 45,323.34

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Solution

The fourth proportional to 78,035.33, 107,680.50 and 45,323.34 is: 62,541.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,035.33 : 107,680.50 = 45,323.34 : x
  2. Step 2: Convert to fraction form
    78,035.33/107,680.50 = 45,323.34/x
  3. Step 3: Cross multiply
    78,035.33x = 107,680.50 × 45,323.34
  4. Step 4: Simplify right side
    78,035.33x = 4,880,439,912.87
  5. Step 5: Solve for x
    x = 4,880,439,912.87/78,035.33
  6. Step 6: Final answer
    x = 62,541.42

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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.