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Finding the Fourth Proportional to 252,705.34, 378,931.25 and 84,166.42

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Solution

The fourth proportional to 252,705.34, 378,931.25 and 84,166.42 is: 126,207.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,705.34 : 378,931.25 = 84,166.42 : x
  2. Step 2: Convert to fraction form
    252,705.34/378,931.25 = 84,166.42/x
  3. Step 3: Cross multiply
    252,705.34x = 378,931.25 × 84,166.42
  4. Step 4: Simplify right side
    252,705.34x = 31,893,286,738.63
  5. Step 5: Solve for x
    x = 31,893,286,738.63/252,705.34
  6. Step 6: Final answer
    x = 126,207.41

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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.