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Finding the Fourth Proportional to 99,407, 137,181.66 and 54,695

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Solution

The fourth proportional to 99,407, 137,181.66 and 54,695 is: 75,479.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,407 : 137,181.66 = 54,695 : x
  2. Step 2: Convert to fraction form
    99,407/137,181.66 = 54,695/x
  3. Step 3: Cross multiply
    99,407x = 137,181.66 × 54,695
  4. Step 4: Simplify right side
    99,407x = 7,503,150,893.70
  5. Step 5: Solve for x
    x = 7,503,150,893.70/99,407
  6. Step 6: Final answer
    x = 75,479.10

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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.