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Finding the Fourth Proportional to 133,760.80, 200,738.40 and 54,931.60

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Solution

The fourth proportional to 133,760.80, 200,738.40 and 54,931.60 is: 82,437.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,760.80 : 200,738.40 = 54,931.60 : x
  2. Step 2: Convert to fraction form
    133,760.80/200,738.40 = 54,931.60/x
  3. Step 3: Cross multiply
    133,760.80x = 200,738.40 × 54,931.60
  4. Step 4: Simplify right side
    133,760.80x = 11,026,881,493.44
  5. Step 5: Solve for x
    x = 11,026,881,493.44/133,760.80
  6. Step 6: Final answer
    x = 82,437.32

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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.