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Finding the Fourth Proportional to 100,732.43, 139,007.84 and 55,410.43

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Solution

The fourth proportional to 100,732.43, 139,007.84 and 55,410.43 is: 76,464.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,732.43 : 139,007.84 = 55,410.43 : x
  2. Step 2: Convert to fraction form
    100,732.43/139,007.84 = 55,410.43/x
  3. Step 3: Cross multiply
    100,732.43x = 139,007.84 × 55,410.43
  4. Step 4: Simplify right side
    100,732.43x = 7,702,484,187.77
  5. Step 5: Solve for x
    x = 7,702,484,187.77/100,732.43
  6. Step 6: Final answer
    x = 76,464.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.