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Finding the Fourth Proportional to 139,724.64, 209,515.76 and 68,652

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Solution

The fourth proportional to 139,724.64, 209,515.76 and 68,652 is: 102,943.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,724.64 : 209,515.76 = 68,652 : x
  2. Step 2: Convert to fraction form
    139,724.64/209,515.76 = 68,652/x
  3. Step 3: Cross multiply
    139,724.64x = 209,515.76 × 68,652
  4. Step 4: Simplify right side
    139,724.64x = 14,383,675,955.52
  5. Step 5: Solve for x
    x = 14,383,675,955.52/139,724.64
  6. Step 6: Final answer
    x = 102,943.02

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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.