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Finding the Fourth Proportional to 76,807.64, 115,227.14 and 43,542.56

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Solution

The fourth proportional to 76,807.64, 115,227.14 and 43,542.56 is: 65,322.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,807.64 : 115,227.14 = 43,542.56 : x
  2. Step 2: Convert to fraction form
    76,807.64/115,227.14 = 43,542.56/x
  3. Step 3: Cross multiply
    76,807.64x = 115,227.14 × 43,542.56
  4. Step 4: Simplify right side
    76,807.64x = 5,017,283,863.23
  5. Step 5: Solve for x
    x = 5,017,283,863.23/76,807.64
  6. Step 6: Final answer
    x = 65,322.72

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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.