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Finding the Fourth Proportional to 55,206.80, 82,811.56 and 20,146.45

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Solution

The fourth proportional to 55,206.80, 82,811.56 and 20,146.45 is: 30,220.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,206.80 : 82,811.56 = 20,146.45 : x
  2. Step 2: Convert to fraction form
    55,206.80/82,811.56 = 20,146.45/x
  3. Step 3: Cross multiply
    55,206.80x = 82,811.56 × 20,146.45
  4. Step 4: Simplify right side
    55,206.80x = 1,668,358,852.23
  5. Step 5: Solve for x
    x = 1,668,358,852.23/55,206.80
  6. Step 6: Final answer
    x = 30,220.17

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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.