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Finding the Fourth Proportional to 75,878.72, 113,815.20 and 20,476.16

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Solution

The fourth proportional to 75,878.72, 113,815.20 and 20,476.16 is: 30,713.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,878.72 : 113,815.20 = 20,476.16 : x
  2. Step 2: Convert to fraction form
    75,878.72/113,815.20 = 20,476.16/x
  3. Step 3: Cross multiply
    75,878.72x = 113,815.20 × 20,476.16
  4. Step 4: Simplify right side
    75,878.72x = 2,330,498,245.63
  5. Step 5: Solve for x
    x = 2,330,498,245.63/75,878.72
  6. Step 6: Final answer
    x = 30,713.46

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1.5x scale

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.