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Finding the Fourth Proportional to 252,735.88, 378,977.04 and 84,196.94

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Solution

The fourth proportional to 252,735.88, 378,977.04 and 84,196.94 is: 126,253.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,735.88 : 378,977.04 = 84,196.94 : x
  2. Step 2: Convert to fraction form
    252,735.88/378,977.04 = 84,196.94/x
  3. Step 3: Cross multiply
    252,735.88x = 378,977.04 × 84,196.94
  4. Step 4: Simplify right side
    252,735.88x = 31,908,707,098.26
  5. Step 5: Solve for x
    x = 31,908,707,098.26/252,735.88
  6. Step 6: Final answer
    x = 126,253.17

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1.5x scale

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.