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Finding the Fourth Proportional to 214,158.15, 321,237.95 and 54,234

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Solution

The fourth proportional to 214,158.15, 321,237.95 and 54,234 is: 81,351.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,158.15 : 321,237.95 = 54,234 : x
  2. Step 2: Convert to fraction form
    214,158.15/321,237.95 = 54,234/x
  3. Step 3: Cross multiply
    214,158.15x = 321,237.95 × 54,234
  4. Step 4: Simplify right side
    214,158.15x = 17,422,018,709.13
  5. Step 5: Solve for x
    x = 17,422,018,709.13/214,158.15
  6. Step 6: Final answer
    x = 81,351.18

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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.