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Finding the Fourth Proportional to 57,207.84, 78,945.57 and 31,714.08

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Solution

The fourth proportional to 57,207.84, 78,945.57 and 31,714.08 is: 43,764.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,207.84 : 78,945.57 = 31,714.08 : x
  2. Step 2: Convert to fraction form
    57,207.84/78,945.57 = 31,714.08/x
  3. Step 3: Cross multiply
    57,207.84x = 78,945.57 × 31,714.08
  4. Step 4: Simplify right side
    57,207.84x = 2,503,686,122.63
  5. Step 5: Solve for x
    x = 2,503,686,122.63/57,207.84
  6. Step 6: Final answer
    x = 43,764.74

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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.