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Finding the Fourth Proportional to 214,064.40, 320,866.20 and 80,893.20

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Solution

The fourth proportional to 214,064.40, 320,866.20 and 80,893.20 is: 121,252.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,064.40 : 320,866.20 = 80,893.20 : x
  2. Step 2: Convert to fraction form
    214,064.40/320,866.20 = 80,893.20/x
  3. Step 3: Cross multiply
    214,064.40x = 320,866.20 × 80,893.20
  4. Step 4: Simplify right side
    214,064.40x = 25,955,893,689.84
  5. Step 5: Solve for x
    x = 25,955,893,689.84/214,064.40
  6. Step 6: Final answer
    x = 121,252.73

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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.