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Finding the Fourth Proportional to 139,969.06, 209,765.67 and 76,694.02

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Solution

The fourth proportional to 139,969.06, 209,765.67 and 76,694.02 is: 114,938.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,969.06 : 209,765.67 = 76,694.02 : x
  2. Step 2: Convert to fraction form
    139,969.06/209,765.67 = 76,694.02/x
  3. Step 3: Cross multiply
    139,969.06x = 209,765.67 × 76,694.02
  4. Step 4: Simplify right side
    139,969.06x = 16,087,772,490.29
  5. Step 5: Solve for x
    x = 16,087,772,490.29/139,969.06
  6. Step 6: Final answer
    x = 114,938.06

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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.