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Finding the Fourth Proportional to 83,690.70, 115,435.82 and 53,462.60

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Solution

The fourth proportional to 83,690.70, 115,435.82 and 53,462.60 is: 73,741.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,690.70 : 115,435.82 = 53,462.60 : x
  2. Step 2: Convert to fraction form
    83,690.70/115,435.82 = 53,462.60/x
  3. Step 3: Cross multiply
    83,690.70x = 115,435.82 × 53,462.60
  4. Step 4: Simplify right side
    83,690.70x = 6,171,499,070.33
  5. Step 5: Solve for x
    x = 6,171,499,070.33/83,690.70
  6. Step 6: Final answer
    x = 73,741.75

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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.