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Finding the Fourth Proportional to 139,873.64, 209,808.84 and 83,729.44

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Solution

The fourth proportional to 139,873.64, 209,808.84 and 83,729.44 is: 125,593.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,873.64 : 209,808.84 = 83,729.44 : x
  2. Step 2: Convert to fraction form
    139,873.64/209,808.84 = 83,729.44/x
  3. Step 3: Cross multiply
    139,873.64x = 209,808.84 × 83,729.44
  4. Step 4: Simplify right side
    139,873.64x = 17,567,176,680.25
  5. Step 5: Solve for x
    x = 17,567,176,680.25/139,873.64
  6. Step 6: Final answer
    x = 125,593.19

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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.