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Finding the Fourth Proportional to 76,489.28, 114,763.36 and 37,043.36

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Solution

The fourth proportional to 76,489.28, 114,763.36 and 37,043.36 is: 55,579.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,489.28 : 114,763.36 = 37,043.36 : x
  2. Step 2: Convert to fraction form
    76,489.28/114,763.36 = 37,043.36/x
  3. Step 3: Cross multiply
    76,489.28x = 114,763.36 × 37,043.36
  4. Step 4: Simplify right side
    76,489.28x = 4,251,220,459.29
  5. Step 5: Solve for x
    x = 4,251,220,459.29/76,489.28
  6. Step 6: Final answer
    x = 55,579.30

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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.