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Finding the Fourth Proportional to 252,356.16, 378,535.80 and 74,864.64

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Solution

The fourth proportional to 252,356.16, 378,535.80 and 74,864.64 is: 112,297.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,356.16 : 378,535.80 = 74,864.64 : x
  2. Step 2: Convert to fraction form
    252,356.16/378,535.80 = 74,864.64/x
  3. Step 3: Cross multiply
    252,356.16x = 378,535.80 × 74,864.64
  4. Step 4: Simplify right side
    252,356.16x = 28,338,946,394.11
  5. Step 5: Solve for x
    x = 28,338,946,394.11/252,356.16
  6. Step 6: Final answer
    x = 112,297.42

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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.