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Finding the Fourth Proportional to 202,821.32, 304,232.51 and 82,878.28

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Solution

The fourth proportional to 202,821.32, 304,232.51 and 82,878.28 is: 124,317.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,821.32 : 304,232.51 = 82,878.28 : x
  2. Step 2: Convert to fraction form
    202,821.32/304,232.51 = 82,878.28/x
  3. Step 3: Cross multiply
    202,821.32x = 304,232.51 × 82,878.28
  4. Step 4: Simplify right side
    202,821.32x = 25,214,267,148.88
  5. Step 5: Solve for x
    x = 25,214,267,148.88/202,821.32
  6. Step 6: Final answer
    x = 124,317.64

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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.