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Finding the Fourth Proportional to 143,699.48, 215,464.62 and 54,959.48

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Solution

The fourth proportional to 143,699.48, 215,464.62 and 54,959.48 is: 82,406.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,699.48 : 215,464.62 = 54,959.48 : x
  2. Step 2: Convert to fraction form
    143,699.48/215,464.62 = 54,959.48/x
  3. Step 3: Cross multiply
    143,699.48x = 215,464.62 × 54,959.48
  4. Step 4: Simplify right side
    143,699.48x = 11,841,823,473.60
  5. Step 5: Solve for x
    x = 11,841,823,473.60/143,699.48
  6. Step 6: Final answer
    x = 82,406.86

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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.