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Finding the Fourth Proportional to 57,009.50, 78,673.11 and 31,859

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Solution

The fourth proportional to 57,009.50, 78,673.11 and 31,859 is: 43,965.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,009.50 : 78,673.11 = 31,859 : x
  2. Step 2: Convert to fraction form
    57,009.50/78,673.11 = 31,859/x
  3. Step 3: Cross multiply
    57,009.50x = 78,673.11 × 31,859
  4. Step 4: Simplify right side
    57,009.50x = 2,506,446,611.49
  5. Step 5: Solve for x
    x = 2,506,446,611.49/57,009.50
  6. Step 6: Final answer
    x = 43,965.42

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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.