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Finding the Fourth Proportional to 127,644, 191,466 and 34,147.32

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Solution

The fourth proportional to 127,644, 191,466 and 34,147.32 is: 51,220.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,644 : 191,466 = 34,147.32 : x
  2. Step 2: Convert to fraction form
    127,644/191,466 = 34,147.32/x
  3. Step 3: Cross multiply
    127,644x = 191,466 × 34,147.32
  4. Step 4: Simplify right side
    127,644x = 6,538,050,771.12
  5. Step 5: Solve for x
    x = 6,538,050,771.12/127,644
  6. Step 6: Final answer
    x = 51,220.98

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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.