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Finding the Fourth Proportional to 252,513.16, 378,821.58 and 75,004.36

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Solution

The fourth proportional to 252,513.16, 378,821.58 and 75,004.36 is: 112,521.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,513.16 : 378,821.58 = 75,004.36 : x
  2. Step 2: Convert to fraction form
    252,513.16/378,821.58 = 75,004.36/x
  3. Step 3: Cross multiply
    252,513.16x = 378,821.58 × 75,004.36
  4. Step 4: Simplify right side
    252,513.16x = 28,413,270,162.09
  5. Step 5: Solve for x
    x = 28,413,270,162.09/252,513.16
  6. Step 6: Final answer
    x = 112,521.94

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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.