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Finding the Fourth Proportional to 171,990.70, 257,899.65 and 78,390.70

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Solution

The fourth proportional to 171,990.70, 257,899.65 and 78,390.70 is: 117,546.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,990.70 : 257,899.65 = 78,390.70 : x
  2. Step 2: Convert to fraction form
    171,990.70/257,899.65 = 78,390.70/x
  3. Step 3: Cross multiply
    171,990.70x = 257,899.65 × 78,390.70
  4. Step 4: Simplify right side
    171,990.70x = 20,216,934,093.26
  5. Step 5: Solve for x
    x = 20,216,934,093.26/171,990.70
  6. Step 6: Final answer
    x = 117,546.67

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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.