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Finding the Fourth Proportional to 77,652.45, 116,481.30 and 21,487.89

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Solution

The fourth proportional to 77,652.45, 116,481.30 and 21,487.89 is: 32,232.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,652.45 : 116,481.30 = 21,487.89 : x
  2. Step 2: Convert to fraction form
    77,652.45/116,481.30 = 21,487.89/x
  3. Step 3: Cross multiply
    77,652.45x = 116,481.30 × 21,487.89
  4. Step 4: Simplify right side
    77,652.45x = 2,502,937,361.46
  5. Step 5: Solve for x
    x = 2,502,937,361.46/77,652.45
  6. Step 6: Final answer
    x = 32,232.56

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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.