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Finding the Fourth Proportional to 55,206.55, 82,811.18 and 20,146.20

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Solution

The fourth proportional to 55,206.55, 82,811.18 and 20,146.20 is: 30,219.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,206.55 : 82,811.18 = 20,146.20 : x
  2. Step 2: Convert to fraction form
    55,206.55/82,811.18 = 20,146.20/x
  3. Step 3: Cross multiply
    55,206.55x = 82,811.18 × 20,146.20
  4. Step 4: Simplify right side
    55,206.55x = 1,668,330,594.52
  5. Step 5: Solve for x
    x = 1,668,330,594.52/55,206.55
  6. Step 6: Final answer
    x = 30,219.79

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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.