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Finding the Fourth Proportional to 216,216, 324,105.12 and 103,730.88

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Solution

The fourth proportional to 216,216, 324,105.12 and 103,730.88 is: 155,491.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,216 : 324,105.12 = 103,730.88 : x
  2. Step 2: Convert to fraction form
    216,216/324,105.12 = 103,730.88/x
  3. Step 3: Cross multiply
    216,216x = 324,105.12 × 103,730.88
  4. Step 4: Simplify right side
    216,216x = 33,619,709,310.11
  5. Step 5: Solve for x
    x = 33,619,709,310.11/216,216
  6. Step 6: Final answer
    x = 155,491.31

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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.