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Finding the Fourth Proportional to 96,409, 133,037.13 and 53,388.28

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Solution

The fourth proportional to 96,409, 133,037.13 and 53,388.28 is: 73,671.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,409 : 133,037.13 = 53,388.28 : x
  2. Step 2: Convert to fraction form
    96,409/133,037.13 = 53,388.28/x
  3. Step 3: Cross multiply
    96,409x = 133,037.13 × 53,388.28
  4. Step 4: Simplify right side
    96,409x = 7,102,623,546.84
  5. Step 5: Solve for x
    x = 7,102,623,546.84/96,409
  6. Step 6: Final answer
    x = 73,671.79

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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.