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Finding the Fourth Proportional to 135,710.20, 203,468.10 and 56,783.80

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Solution

The fourth proportional to 135,710.20, 203,468.10 and 56,783.80 is: 85,135.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,710.20 : 203,468.10 = 56,783.80 : x
  2. Step 2: Convert to fraction form
    135,710.20/203,468.10 = 56,783.80/x
  3. Step 3: Cross multiply
    135,710.20x = 203,468.10 × 56,783.80
  4. Step 4: Simplify right side
    135,710.20x = 11,553,691,896.78
  5. Step 5: Solve for x
    x = 11,553,691,896.78/135,710.20
  6. Step 6: Final answer
    x = 85,135.03

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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.