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Finding the Fourth Proportional to 71,760.64, 99,011.28 and 43,456

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Solution

The fourth proportional to 71,760.64, 99,011.28 and 43,456 is: 59,958.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,760.64 : 99,011.28 = 43,456 : x
  2. Step 2: Convert to fraction form
    71,760.64/99,011.28 = 43,456/x
  3. Step 3: Cross multiply
    71,760.64x = 99,011.28 × 43,456
  4. Step 4: Simplify right side
    71,760.64x = 4,302,634,183.68
  5. Step 5: Solve for x
    x = 4,302,634,183.68/71,760.64
  6. Step 6: Final answer
    x = 59,958.14

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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.