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Finding the Fourth Proportional to 214,188.40, 321,185.40 and 81,024.40

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Solution

The fourth proportional to 214,188.40, 321,185.40 and 81,024.40 is: 121,499.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,188.40 : 321,185.40 = 81,024.40 : x
  2. Step 2: Convert to fraction form
    214,188.40/321,185.40 = 81,024.40/x
  3. Step 3: Cross multiply
    214,188.40x = 321,185.40 × 81,024.40
  4. Step 4: Simplify right side
    214,188.40x = 26,023,854,323.76
  5. Step 5: Solve for x
    x = 26,023,854,323.76/214,188.40
  6. Step 6: Final answer
    x = 121,499.83

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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.