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Finding the Fourth Proportional to 100,065.60, 138,067.20 and 68,300.64

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Solution

The fourth proportional to 100,065.60, 138,067.20 and 68,300.64 is: 94,238.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,065.60 : 138,067.20 = 68,300.64 : x
  2. Step 2: Convert to fraction form
    100,065.60/138,067.20 = 68,300.64/x
  3. Step 3: Cross multiply
    100,065.60x = 138,067.20 × 68,300.64
  4. Step 4: Simplify right side
    100,065.60x = 9,430,078,123.01
  5. Step 5: Solve for x
    x = 9,430,078,123.01/100,065.60
  6. Step 6: Final answer
    x = 94,238.96

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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.