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Finding the Fourth Proportional to 77,207.33, 115,830.97 and 45,213.43

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Solution

The fourth proportional to 77,207.33, 115,830.97 and 45,213.43 is: 67,831.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,207.33 : 115,830.97 = 45,213.43 : x
  2. Step 2: Convert to fraction form
    77,207.33/115,830.97 = 45,213.43/x
  3. Step 3: Cross multiply
    77,207.33x = 115,830.97 × 45,213.43
  4. Step 4: Simplify right side
    77,207.33x = 5,237,115,453.93
  5. Step 5: Solve for x
    x = 5,237,115,453.93/77,207.33
  6. Step 6: Final answer
    x = 67,831.84

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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.