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Finding the Fourth Proportional to 252,664.88, 378,870.54 and 84,125.84

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Solution

The fourth proportional to 252,664.88, 378,870.54 and 84,125.84 is: 126,146.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,664.88 : 378,870.54 = 84,125.84 : x
  2. Step 2: Convert to fraction form
    252,664.88/378,870.54 = 84,125.84/x
  3. Step 3: Cross multiply
    252,664.88x = 378,870.54 × 84,125.84
  4. Step 4: Simplify right side
    252,664.88x = 31,872,802,428.75
  5. Step 5: Solve for x
    x = 31,872,802,428.75/252,664.88
  6. Step 6: Final answer
    x = 126,146.55

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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.