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Finding the Fourth Proportional to 240,216, 360,324 and 65,112

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Solution

The fourth proportional to 240,216, 360,324 and 65,112 is: 97,668

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,216 : 360,324 = 65,112 : x
  2. Step 2: Convert to fraction form
    240,216/360,324 = 65,112/x
  3. Step 3: Cross multiply
    240,216x = 360,324 × 65,112
  4. Step 4: Simplify right side
    240,216x = 23,461,416,288
  5. Step 5: Solve for x
    x = 23,461,416,288/240,216
  6. Step 6: Final answer
    x = 97,668

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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.