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Finding the Fourth Proportional to 83,484.50, 115,208.62 and 45,757.94

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Solution

The fourth proportional to 83,484.50, 115,208.62 and 45,757.94 is: 63,145.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,484.50 : 115,208.62 = 45,757.94 : x
  2. Step 2: Convert to fraction form
    83,484.50/115,208.62 = 45,757.94/x
  3. Step 3: Cross multiply
    83,484.50x = 115,208.62 × 45,757.94
  4. Step 4: Simplify right side
    83,484.50x = 5,271,709,121.44
  5. Step 5: Solve for x
    x = 5,271,709,121.44/83,484.50
  6. Step 6: Final answer
    x = 63,145.96

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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.