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Finding the Fourth Proportional to 84,697.38, 127,042.43 and 34,780.32

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Solution

The fourth proportional to 84,697.38, 127,042.43 and 34,780.32 is: 52,168.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,697.38 : 127,042.43 = 34,780.32 : x
  2. Step 2: Convert to fraction form
    84,697.38/127,042.43 = 34,780.32/x
  3. Step 3: Cross multiply
    84,697.38x = 127,042.43 × 34,780.32
  4. Step 4: Simplify right side
    84,697.38x = 4,418,576,195.08
  5. Step 5: Solve for x
    x = 4,418,576,195.08/84,697.38
  6. Step 6: Final answer
    x = 52,168.98

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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.