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Finding the Fourth Proportional to 85,719.76, 128,450.46 and 76,376.48

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Solution

The fourth proportional to 85,719.76, 128,450.46 and 76,376.48 is: 114,449.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,719.76 : 128,450.46 = 76,376.48 : x
  2. Step 2: Convert to fraction form
    85,719.76/128,450.46 = 76,376.48/x
  3. Step 3: Cross multiply
    85,719.76x = 128,450.46 × 76,376.48
  4. Step 4: Simplify right side
    85,719.76x = 9,810,593,989.18
  5. Step 5: Solve for x
    x = 9,810,593,989.18/85,719.76
  6. Step 6: Final answer
    x = 114,449.62

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Why These Related Problems?

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