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Finding the Fourth Proportional to 137,308.88, 205,982.81 and 42,546.51

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Solution

The fourth proportional to 137,308.88, 205,982.81 and 42,546.51 is: 63,825.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,308.88 : 205,982.81 = 42,546.51 : x
  2. Step 2: Convert to fraction form
    137,308.88/205,982.81 = 42,546.51/x
  3. Step 3: Cross multiply
    137,308.88x = 205,982.81 × 42,546.51
  4. Step 4: Simplify right side
    137,308.88x = 8,763,848,442.85
  5. Step 5: Solve for x
    x = 8,763,848,442.85/137,308.88
  6. Step 6: Final answer
    x = 63,825.80

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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.