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Finding the Fourth Proportional to 137,005.68, 205,625.16 and 53,958

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Solution

The fourth proportional to 137,005.68, 205,625.16 and 53,958 is: 80,982.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,005.68 : 205,625.16 = 53,958 : x
  2. Step 2: Convert to fraction form
    137,005.68/205,625.16 = 53,958/x
  3. Step 3: Cross multiply
    137,005.68x = 205,625.16 × 53,958
  4. Step 4: Simplify right side
    137,005.68x = 11,095,122,383.28
  5. Step 5: Solve for x
    x = 11,095,122,383.28/137,005.68
  6. Step 6: Final answer
    x = 80,982.94

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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.