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Finding the Fourth Proportional to 139,605.96, 209,408.96 and 97,568.15

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Solution

The fourth proportional to 139,605.96, 209,408.96 and 97,568.15 is: 146,352.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,605.96 : 209,408.96 = 97,568.15 : x
  2. Step 2: Convert to fraction form
    139,605.96/209,408.96 = 97,568.15/x
  3. Step 3: Cross multiply
    139,605.96x = 209,408.96 × 97,568.15
  4. Step 4: Simplify right side
    139,605.96x = 20,431,643,605.88
  5. Step 5: Solve for x
    x = 20,431,643,605.88/139,605.96
  6. Step 6: Final answer
    x = 146,352.24

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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.