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Finding the Fourth Proportional to 161,271, 241,993.98 and 78,165

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Solution

The fourth proportional to 161,271, 241,993.98 and 78,165 is: 117,289.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    161,271 : 241,993.98 = 78,165 : x
  2. Step 2: Convert to fraction form
    161,271/241,993.98 = 78,165/x
  3. Step 3: Cross multiply
    161,271x = 241,993.98 × 78,165
  4. Step 4: Simplify right side
    161,271x = 18,915,459,446.70
  5. Step 5: Solve for x
    x = 18,915,459,446.70/161,271
  6. Step 6: Final answer
    x = 117,289.90

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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.