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Finding the Fourth Proportional to 127,791.12, 191,700 and 48,972

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Solution

The fourth proportional to 127,791.12, 191,700 and 48,972 is: 73,463.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,791.12 : 191,700 = 48,972 : x
  2. Step 2: Convert to fraction form
    127,791.12/191,700 = 48,972/x
  3. Step 3: Cross multiply
    127,791.12x = 191,700 × 48,972
  4. Step 4: Simplify right side
    127,791.12x = 9,387,932,400
  5. Step 5: Solve for x
    x = 9,387,932,400/127,791.12
  6. Step 6: Final answer
    x = 73,463.10

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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.