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Finding the Fourth Proportional to 100,964.50, 139,330.31 and 55,642.51

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Solution

The fourth proportional to 100,964.50, 139,330.31 and 55,642.51 is: 76,786.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,964.50 : 139,330.31 = 55,642.51 : x
  2. Step 2: Convert to fraction form
    100,964.50/139,330.31 = 55,642.51/x
  3. Step 3: Cross multiply
    100,964.50x = 139,330.31 × 55,642.51
  4. Step 4: Simplify right side
    100,964.50x = 7,752,688,063.43
  5. Step 5: Solve for x
    x = 7,752,688,063.43/100,964.50
  6. Step 6: Final answer
    x = 76,786.28

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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.