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Finding the Fourth Proportional to 55,082.76, 82,628.22 and 15,643.08

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Solution

The fourth proportional to 55,082.76, 82,628.22 and 15,643.08 is: 23,465.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,082.76 : 82,628.22 = 15,643.08 : x
  2. Step 2: Convert to fraction form
    55,082.76/82,628.22 = 15,643.08/x
  3. Step 3: Cross multiply
    55,082.76x = 82,628.22 × 15,643.08
  4. Step 4: Simplify right side
    55,082.76x = 1,292,559,855.72
  5. Step 5: Solve for x
    x = 1,292,559,855.72/55,082.76
  6. Step 6: Final answer
    x = 23,465.78

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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.