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Finding the Fourth Proportional to 55,215, 76,196.70 and 32,859

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Solution

The fourth proportional to 55,215, 76,196.70 and 32,859 is: 45,345.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,215 : 76,196.70 = 32,859 : x
  2. Step 2: Convert to fraction form
    55,215/76,196.70 = 32,859/x
  3. Step 3: Cross multiply
    55,215x = 76,196.70 × 32,859
  4. Step 4: Simplify right side
    55,215x = 2,503,747,365.30
  5. Step 5: Solve for x
    x = 2,503,747,365.30/55,215
  6. Step 6: Final answer
    x = 45,345.42

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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.