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Finding the Fourth Proportional to 214,037.76, 321,060.16 and 80,980.64

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Solution

The fourth proportional to 214,037.76, 321,060.16 and 80,980.64 is: 121,472.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,037.76 : 321,060.16 = 80,980.64 : x
  2. Step 2: Convert to fraction form
    214,037.76/321,060.16 = 80,980.64/x
  3. Step 3: Cross multiply
    214,037.76x = 321,060.16 × 80,980.64
  4. Step 4: Simplify right side
    214,037.76x = 25,999,657,235.30
  5. Step 5: Solve for x
    x = 25,999,657,235.30/214,037.76
  6. Step 6: Final answer
    x = 121,472.29

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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.