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Finding the Fourth Proportional to 134,057.30, 200,913.15 and 81,410.90

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Solution

The fourth proportional to 134,057.30, 200,913.15 and 81,410.90 is: 122,011.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,057.30 : 200,913.15 = 81,410.90 : x
  2. Step 2: Convert to fraction form
    134,057.30/200,913.15 = 81,410.90/x
  3. Step 3: Cross multiply
    134,057.30x = 200,913.15 × 81,410.90
  4. Step 4: Simplify right side
    134,057.30x = 16,356,520,363.34
  5. Step 5: Solve for x
    x = 16,356,520,363.34/134,057.30
  6. Step 6: Final answer
    x = 122,011.41

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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.