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Finding the Fourth Proportional to 172,076.40, 258,118.92 and 83,313.36

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Solution

The fourth proportional to 172,076.40, 258,118.92 and 83,313.36 is: 124,972.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,076.40 : 258,118.92 = 83,313.36 : x
  2. Step 2: Convert to fraction form
    172,076.40/258,118.92 = 83,313.36/x
  3. Step 3: Cross multiply
    172,076.40x = 258,118.92 × 83,313.36
  4. Step 4: Simplify right side
    172,076.40x = 21,504,754,504.77
  5. Step 5: Solve for x
    x = 21,504,754,504.77/172,076.40
  6. Step 6: Final answer
    x = 124,972.13

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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.