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Finding the Fourth Proportional to 209,371.72, 313,867.54 and 76,157.82

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Solution

The fourth proportional to 209,371.72, 313,867.54 and 76,157.82 is: 114,167.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,371.72 : 313,867.54 = 76,157.82 : x
  2. Step 2: Convert to fraction form
    209,371.72/313,867.54 = 76,157.82/x
  3. Step 3: Cross multiply
    209,371.72x = 313,867.54 × 76,157.82
  4. Step 4: Simplify right side
    209,371.72x = 23,903,467,615.16
  5. Step 5: Solve for x
    x = 23,903,467,615.16/209,371.72
  6. Step 6: Final answer
    x = 114,167.60

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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.