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Finding the Fourth Proportional to 252,664.48, 378,582 and 86,361.76

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Solution

The fourth proportional to 252,664.48, 378,582 and 86,361.76 is: 129,400.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,664.48 : 378,582 = 86,361.76 : x
  2. Step 2: Convert to fraction form
    252,664.48/378,582 = 86,361.76/x
  3. Step 3: Cross multiply
    252,664.48x = 378,582 × 86,361.76
  4. Step 4: Simplify right side
    252,664.48x = 32,695,007,824.32
  5. Step 5: Solve for x
    x = 32,695,007,824.32/252,664.48
  6. Step 6: Final answer
    x = 129,400.89

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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.