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Finding the Fourth Proportional to 20,123.80, 30,204.90 and 17,205.40

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Solution

The fourth proportional to 20,123.80, 30,204.90 and 17,205.40 is: 25,824.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,123.80 : 30,204.90 = 17,205.40 : x
  2. Step 2: Convert to fraction form
    20,123.80/30,204.90 = 17,205.40/x
  3. Step 3: Cross multiply
    20,123.80x = 30,204.90 × 17,205.40
  4. Step 4: Simplify right side
    20,123.80x = 519,687,386.46
  5. Step 5: Solve for x
    x = 519,687,386.46/20,123.80
  6. Step 6: Final answer
    x = 25,824.52

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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.