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Finding the Fourth Proportional to 55,475, 83,212.50 and 18,539

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Solution

The fourth proportional to 55,475, 83,212.50 and 18,539 is: 27,808.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,475 : 83,212.50 = 18,539 : x
  2. Step 2: Convert to fraction form
    55,475/83,212.50 = 18,539/x
  3. Step 3: Cross multiply
    55,475x = 83,212.50 × 18,539
  4. Step 4: Simplify right side
    55,475x = 1,542,676,537.50
  5. Step 5: Solve for x
    x = 1,542,676,537.50/55,475
  6. Step 6: Final answer
    x = 27,808.50

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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.