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Finding the Fourth Proportional to 139,871.21, 209,894.29 and 56,765.21

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Solution

The fourth proportional to 139,871.21, 209,894.29 and 56,765.21 is: 85,183.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,871.21 : 209,894.29 = 56,765.21 : x
  2. Step 2: Convert to fraction form
    139,871.21/209,894.29 = 56,765.21/x
  3. Step 3: Cross multiply
    139,871.21x = 209,894.29 × 56,765.21
  4. Step 4: Simplify right side
    139,871.21x = 11,914,692,258.27
  5. Step 5: Solve for x
    x = 11,914,692,258.27/139,871.21
  6. Step 6: Final answer
    x = 85,183.31

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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.