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Finding the Fourth Proportional to 83,358.78, 115,072.65 and 53,184.66

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Solution

The fourth proportional to 83,358.78, 115,072.65 and 53,184.66 is: 73,418.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,358.78 : 115,072.65 = 53,184.66 : x
  2. Step 2: Convert to fraction form
    83,358.78/115,072.65 = 53,184.66/x
  3. Step 3: Cross multiply
    83,358.78x = 115,072.65 × 53,184.66
  4. Step 4: Simplify right side
    83,358.78x = 6,120,099,765.55
  5. Step 5: Solve for x
    x = 6,120,099,765.55/83,358.78
  6. Step 6: Final answer
    x = 73,418.78

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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.