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Finding the Fourth Proportional to 55,318.69, 82,978.34 and 13,765.69

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Solution

The fourth proportional to 55,318.69, 82,978.34 and 13,765.69 is: 20,648.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,318.69 : 82,978.34 = 13,765.69 : x
  2. Step 2: Convert to fraction form
    55,318.69/82,978.34 = 13,765.69/x
  3. Step 3: Cross multiply
    55,318.69x = 82,978.34 × 13,765.69
  4. Step 4: Simplify right side
    55,318.69x = 1,142,254,036.33
  5. Step 5: Solve for x
    x = 1,142,254,036.33/55,318.69
  6. Step 6: Final answer
    x = 20,648.61

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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.