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Finding the Fourth Proportional to 55,148.78, 82,682.84 and 17,687.53

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Solution

The fourth proportional to 55,148.78, 82,682.84 and 17,687.53 is: 26,518.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,148.78 : 82,682.84 = 17,687.53 : x
  2. Step 2: Convert to fraction form
    55,148.78/82,682.84 = 17,687.53/x
  3. Step 3: Cross multiply
    55,148.78x = 82,682.84 × 17,687.53
  4. Step 4: Simplify right side
    55,148.78x = 1,462,455,212.99
  5. Step 5: Solve for x
    x = 1,462,455,212.99/55,148.78
  6. Step 6: Final answer
    x = 26,518.36

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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.