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Finding the Fourth Proportional to 55,172.50, 82,758.96 and 13,619.50

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Solution

The fourth proportional to 55,172.50, 82,758.96 and 13,619.50 is: 20,429.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,172.50 : 82,758.96 = 13,619.50 : x
  2. Step 2: Convert to fraction form
    55,172.50/82,758.96 = 13,619.50/x
  3. Step 3: Cross multiply
    55,172.50x = 82,758.96 × 13,619.50
  4. Step 4: Simplify right side
    55,172.50x = 1,127,135,655.72
  5. Step 5: Solve for x
    x = 1,127,135,655.72/55,172.50
  6. Step 6: Final answer
    x = 20,429.30

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1.5x scale

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.