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Finding the Fourth Proportional to 52,018.94, 71,785.62 and 28,145.09

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Solution

The fourth proportional to 52,018.94, 71,785.62 and 28,145.09 is: 38,839.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,018.94 : 71,785.62 = 28,145.09 : x
  2. Step 2: Convert to fraction form
    52,018.94/71,785.62 = 28,145.09/x
  3. Step 3: Cross multiply
    52,018.94x = 71,785.62 × 28,145.09
  4. Step 4: Simplify right side
    52,018.94x = 2,020,412,376.68
  5. Step 5: Solve for x
    x = 2,020,412,376.68/52,018.94
  6. Step 6: Final answer
    x = 38,839.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.