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Finding the Fourth Proportional to 138,613.20, 191,265 and 78,181.20

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Solution

The fourth proportional to 138,613.20, 191,265 and 78,181.20 is: 107,878.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,613.20 : 191,265 = 78,181.20 : x
  2. Step 2: Convert to fraction form
    138,613.20/191,265 = 78,181.20/x
  3. Step 3: Cross multiply
    138,613.20x = 191,265 × 78,181.20
  4. Step 4: Simplify right side
    138,613.20x = 14,953,327,218
  5. Step 5: Solve for x
    x = 14,953,327,218/138,613.20
  6. Step 6: Final answer
    x = 107,878.09

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1.5x scale

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.