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Finding the Fourth Proportional to 213,624, 320,440.32 and 65,880

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Solution

The fourth proportional to 213,624, 320,440.32 and 65,880 is: 98,821.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,624 : 320,440.32 = 65,880 : x
  2. Step 2: Convert to fraction form
    213,624/320,440.32 = 65,880/x
  3. Step 3: Cross multiply
    213,624x = 320,440.32 × 65,880
  4. Step 4: Simplify right side
    213,624x = 21,110,608,281.60
  5. Step 5: Solve for x
    x = 21,110,608,281.60/213,624
  6. Step 6: Final answer
    x = 98,821.33

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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.