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Finding the Fourth Proportional to 135,850.70, 203,929.65 and 80,477.90

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Solution

The fourth proportional to 135,850.70, 203,929.65 and 80,477.90 is: 120,807.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,850.70 : 203,929.65 = 80,477.90 : x
  2. Step 2: Convert to fraction form
    135,850.70/203,929.65 = 80,477.90/x
  3. Step 3: Cross multiply
    135,850.70x = 203,929.65 × 80,477.90
  4. Step 4: Simplify right side
    135,850.70x = 16,411,829,979.74
  5. Step 5: Solve for x
    x = 16,411,829,979.74/135,850.70
  6. Step 6: Final answer
    x = 120,807.84

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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.