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Finding the Fourth Proportional to 76,688.22, 114,978.96 and 33,970.45

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Solution

The fourth proportional to 76,688.22, 114,978.96 and 33,970.45 is: 50,932.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,688.22 : 114,978.96 = 33,970.45 : x
  2. Step 2: Convert to fraction form
    76,688.22/114,978.96 = 33,970.45/x
  3. Step 3: Cross multiply
    76,688.22x = 114,978.96 × 33,970.45
  4. Step 4: Simplify right side
    76,688.22x = 3,905,887,011.73
  5. Step 5: Solve for x
    x = 3,905,887,011.73/76,688.22
  6. Step 6: Final answer
    x = 50,932.03

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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.