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Finding the Fourth Proportional to 214,735.74, 322,059.87 and 81,569.31

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Solution

The fourth proportional to 214,735.74, 322,059.87 and 81,569.31 is: 122,337.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,735.74 : 322,059.87 = 81,569.31 : x
  2. Step 2: Convert to fraction form
    214,735.74/322,059.87 = 81,569.31/x
  3. Step 3: Cross multiply
    214,735.74x = 322,059.87 × 81,569.31
  4. Step 4: Simplify right side
    214,735.74x = 26,270,201,374.59
  5. Step 5: Solve for x
    x = 26,270,201,374.59/214,735.74
  6. Step 6: Final answer
    x = 122,337.35

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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.