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Finding the Fourth Proportional to 216,996, 325,495.92 and 76,778.40

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Solution

The fourth proportional to 216,996, 325,495.92 and 76,778.40 is: 115,168.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,996 : 325,495.92 = 76,778.40 : x
  2. Step 2: Convert to fraction form
    216,996/325,495.92 = 76,778.40/x
  3. Step 3: Cross multiply
    216,996x = 325,495.92 × 76,778.40
  4. Step 4: Simplify right side
    216,996x = 24,991,055,944.13
  5. Step 5: Solve for x
    x = 24,991,055,944.13/216,996
  6. Step 6: Final answer
    x = 115,168.28

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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.