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Finding the Fourth Proportional to 136,638.09, 204,978.87 and 57,753

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Solution

The fourth proportional to 136,638.09, 204,978.87 and 57,753 is: 86,638.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,638.09 : 204,978.87 = 57,753 : x
  2. Step 2: Convert to fraction form
    136,638.09/204,978.87 = 57,753/x
  3. Step 3: Cross multiply
    136,638.09x = 204,978.87 × 57,753
  4. Step 4: Simplify right side
    136,638.09x = 11,838,144,679.11
  5. Step 5: Solve for x
    x = 11,838,144,679.11/136,638.09
  6. Step 6: Final answer
    x = 86,638.69

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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.