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Finding the Fourth Proportional to 127,089, 190,633.50 and 43,983

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Solution

The fourth proportional to 127,089, 190,633.50 and 43,983 is: 65,974.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,089 : 190,633.50 = 43,983 : x
  2. Step 2: Convert to fraction form
    127,089/190,633.50 = 43,983/x
  3. Step 3: Cross multiply
    127,089x = 190,633.50 × 43,983
  4. Step 4: Simplify right side
    127,089x = 8,384,633,230.50
  5. Step 5: Solve for x
    x = 8,384,633,230.50/127,089
  6. Step 6: Final answer
    x = 65,974.50

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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.