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Finding the Fourth Proportional to 214,057.80, 321,090.30 and 81,000.72

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Solution

The fourth proportional to 214,057.80, 321,090.30 and 81,000.72 is: 121,502.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,057.80 : 321,090.30 = 81,000.72 : x
  2. Step 2: Convert to fraction form
    214,057.80/321,090.30 = 81,000.72/x
  3. Step 3: Cross multiply
    214,057.80x = 321,090.30 × 81,000.72
  4. Step 4: Simplify right side
    214,057.80x = 26,008,545,485.02
  5. Step 5: Solve for x
    x = 26,008,545,485.02/214,057.80
  6. Step 6: Final answer
    x = 121,502.44

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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.