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Finding the Fourth Proportional to 123,893.31, 185,729.81 and 53,734.35

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Solution

The fourth proportional to 123,893.31, 185,729.81 and 53,734.35 is: 80,553.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,893.31 : 185,729.81 = 53,734.35 : x
  2. Step 2: Convert to fraction form
    123,893.31/185,729.81 = 53,734.35/x
  3. Step 3: Cross multiply
    123,893.31x = 185,729.81 × 53,734.35
  4. Step 4: Simplify right side
    123,893.31x = 9,980,070,347.30
  5. Step 5: Solve for x
    x = 9,980,070,347.30/123,893.31
  6. Step 6: Final answer
    x = 80,553.75

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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.