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Finding the Fourth Proportional to 55,167.68, 82,751.68 and 20,107.28

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Solution

The fourth proportional to 55,167.68, 82,751.68 and 20,107.28 is: 30,160.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,167.68 : 82,751.68 = 20,107.28 : x
  2. Step 2: Convert to fraction form
    55,167.68/82,751.68 = 20,107.28/x
  3. Step 3: Cross multiply
    55,167.68x = 82,751.68 × 20,107.28
  4. Step 4: Simplify right side
    55,167.68x = 1,663,911,200.23
  5. Step 5: Solve for x
    x = 1,663,911,200.23/55,167.68
  6. Step 6: Final answer
    x = 30,160.98

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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.