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Finding the Fourth Proportional to 214,512.80, 321,767.60 and 64,752.80

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Solution

The fourth proportional to 214,512.80, 321,767.60 and 64,752.80 is: 97,128.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,512.80 : 321,767.60 = 64,752.80 : x
  2. Step 2: Convert to fraction form
    214,512.80/321,767.60 = 64,752.80/x
  3. Step 3: Cross multiply
    214,512.80x = 321,767.60 × 64,752.80
  4. Step 4: Simplify right side
    214,512.80x = 20,835,353,049.28
  5. Step 5: Solve for x
    x = 20,835,353,049.28/214,512.80
  6. Step 6: Final answer
    x = 97,128.72

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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.