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Finding the Fourth Proportional to 152,568, 228,905.76 and 68,321.28

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Solution

The fourth proportional to 152,568, 228,905.76 and 68,321.28 is: 102,505.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,568 : 228,905.76 = 68,321.28 : x
  2. Step 2: Convert to fraction form
    152,568/228,905.76 = 68,321.28/x
  3. Step 3: Cross multiply
    152,568x = 228,905.76 × 68,321.28
  4. Step 4: Simplify right side
    152,568x = 15,639,134,522.57
  5. Step 5: Solve for x
    x = 15,639,134,522.57/152,568
  6. Step 6: Final answer
    x = 102,505.99

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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.