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Finding the Fourth Proportional to 55,043.16, 75,978.94 and 32,687

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Solution

The fourth proportional to 55,043.16, 75,978.94 and 32,687 is: 45,119.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,043.16 : 75,978.94 = 32,687 : x
  2. Step 2: Convert to fraction form
    55,043.16/75,978.94 = 32,687/x
  3. Step 3: Cross multiply
    55,043.16x = 75,978.94 × 32,687
  4. Step 4: Simplify right side
    55,043.16x = 2,483,523,611.78
  5. Step 5: Solve for x
    x = 2,483,523,611.78/55,043.16
  6. Step 6: Final answer
    x = 45,119.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.