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Finding the Fourth Proportional to 139,605.68, 209,408.54 and 97,567.85

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Solution

The fourth proportional to 139,605.68, 209,408.54 and 97,567.85 is: 146,351.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,605.68 : 209,408.54 = 97,567.85 : x
  2. Step 2: Convert to fraction form
    139,605.68/209,408.54 = 97,567.85/x
  3. Step 3: Cross multiply
    139,605.68x = 209,408.54 × 97,567.85
  4. Step 4: Simplify right side
    139,605.68x = 20,431,541,055.12
  5. Step 5: Solve for x
    x = 20,431,541,055.12/139,605.68
  6. Step 6: Final answer
    x = 146,351.79

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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.