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Finding the Fourth Proportional to 102,736.80, 154,134.72 and 42,753.60

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Solution

The fourth proportional to 102,736.80, 154,134.72 and 42,753.60 is: 64,142.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,736.80 : 154,134.72 = 42,753.60 : x
  2. Step 2: Convert to fraction form
    102,736.80/154,134.72 = 42,753.60/x
  3. Step 3: Cross multiply
    102,736.80x = 154,134.72 × 42,753.60
  4. Step 4: Simplify right side
    102,736.80x = 6,589,814,164.99
  5. Step 5: Solve for x
    x = 6,589,814,164.99/102,736.80
  6. Step 6: Final answer
    x = 64,142.68

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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.