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Finding the Fourth Proportional to 76,502.56, 113,984.93 and 72,205.28

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Solution

The fourth proportional to 76,502.56, 113,984.93 and 72,205.28 is: 107,582.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,502.56 : 113,984.93 = 72,205.28 : x
  2. Step 2: Convert to fraction form
    76,502.56/113,984.93 = 72,205.28/x
  3. Step 3: Cross multiply
    76,502.56x = 113,984.93 × 72,205.28
  4. Step 4: Simplify right side
    76,502.56x = 8,230,313,786.43
  5. Step 5: Solve for x
    x = 8,230,313,786.43/76,502.56
  6. Step 6: Final answer
    x = 107,582.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.