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Finding the Fourth Proportional to 214,768.74, 322,109.37 and 81,602.31

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Solution

The fourth proportional to 214,768.74, 322,109.37 and 81,602.31 is: 122,386.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,768.74 : 322,109.37 = 81,602.31 : x
  2. Step 2: Convert to fraction form
    214,768.74/322,109.37 = 81,602.31/x
  3. Step 3: Cross multiply
    214,768.74x = 322,109.37 × 81,602.31
  4. Step 4: Simplify right side
    214,768.74x = 26,284,868,664.64
  5. Step 5: Solve for x
    x = 26,284,868,664.64/214,768.74
  6. Step 6: Final answer
    x = 122,386.85

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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.