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Finding the Fourth Proportional to 252,668.64, 378,876.16 and 84,129.60

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Solution

The fourth proportional to 252,668.64, 378,876.16 and 84,129.60 is: 126,152.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,668.64 : 378,876.16 = 84,129.60 : x
  2. Step 2: Convert to fraction form
    252,668.64/378,876.16 = 84,129.60/x
  3. Step 3: Cross multiply
    252,668.64x = 378,876.16 × 84,129.60
  4. Step 4: Simplify right side
    252,668.64x = 31,874,699,790.34
  5. Step 5: Solve for x
    x = 31,874,699,790.34/252,668.64
  6. Step 6: Final answer
    x = 126,152.18

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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.