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Finding the Fourth Proportional to 136,877.31, 205,680.45 and 73,745.91

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Solution

The fourth proportional to 136,877.31, 205,680.45 and 73,745.91 is: 110,815.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,877.31 : 205,680.45 = 73,745.91 : x
  2. Step 2: Convert to fraction form
    136,877.31/205,680.45 = 73,745.91/x
  3. Step 3: Cross multiply
    136,877.31x = 205,680.45 × 73,745.91
  4. Step 4: Simplify right side
    136,877.31x = 15,168,091,954.46
  5. Step 5: Solve for x
    x = 15,168,091,954.46/136,877.31
  6. Step 6: Final answer
    x = 110,815.24

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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.