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Finding the Fourth Proportional to 128,902.20, 193,199.70 and 54,022.20

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Solution

The fourth proportional to 128,902.20, 193,199.70 and 54,022.20 is: 80,968.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,902.20 : 193,199.70 = 54,022.20 : x
  2. Step 2: Convert to fraction form
    128,902.20/193,199.70 = 54,022.20/x
  3. Step 3: Cross multiply
    128,902.20x = 193,199.70 × 54,022.20
  4. Step 4: Simplify right side
    128,902.20x = 10,437,072,833.34
  5. Step 5: Solve for x
    x = 10,437,072,833.34/128,902.20
  6. Step 6: Final answer
    x = 80,968.93

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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.