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Finding the Fourth Proportional to 214,159.15, 321,239.45 and 54,235

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Solution

The fourth proportional to 214,159.15, 321,239.45 and 54,235 is: 81,352.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,159.15 : 321,239.45 = 54,235 : x
  2. Step 2: Convert to fraction form
    214,159.15/321,239.45 = 54,235/x
  3. Step 3: Cross multiply
    214,159.15x = 321,239.45 × 54,235
  4. Step 4: Simplify right side
    214,159.15x = 17,422,421,570.75
  5. Step 5: Solve for x
    x = 17,422,421,570.75/214,159.15
  6. Step 6: Final answer
    x = 81,352.68

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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.