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Finding the Fourth Proportional to 96,991.88, 145,409.28 and 43,644.68

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Solution

The fourth proportional to 96,991.88, 145,409.28 and 43,644.68 is: 65,431.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,991.88 : 145,409.28 = 43,644.68 : x
  2. Step 2: Convert to fraction form
    96,991.88/145,409.28 = 43,644.68/x
  3. Step 3: Cross multiply
    96,991.88x = 145,409.28 × 43,644.68
  4. Step 4: Simplify right side
    96,991.88x = 6,346,341,494.63
  5. Step 5: Solve for x
    x = 6,346,341,494.63/96,991.88
  6. Step 6: Final answer
    x = 65,431.68

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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.