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Finding the Fourth Proportional to 84,554.16, 126,842.90 and 28,410.32

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Solution

The fourth proportional to 84,554.16, 126,842.90 and 28,410.32 is: 42,619.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,554.16 : 126,842.90 = 28,410.32 : x
  2. Step 2: Convert to fraction form
    84,554.16/126,842.90 = 28,410.32/x
  3. Step 3: Cross multiply
    84,554.16x = 126,842.90 × 28,410.32
  4. Step 4: Simplify right side
    84,554.16x = 3,603,647,378.73
  5. Step 5: Solve for x
    x = 3,603,647,378.73/84,554.16
  6. Step 6: Final answer
    x = 42,619.40

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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.