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Finding the Fourth Proportional to 138,857.72, 191,623.38 and 75,195.32

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Solution

The fourth proportional to 138,857.72, 191,623.38 and 75,195.32 is: 103,769.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,857.72 : 191,623.38 = 75,195.32 : x
  2. Step 2: Convert to fraction form
    138,857.72/191,623.38 = 75,195.32/x
  3. Step 3: Cross multiply
    138,857.72x = 191,623.38 × 75,195.32
  4. Step 4: Simplify right side
    138,857.72x = 14,409,181,378.58
  5. Step 5: Solve for x
    x = 14,409,181,378.58/138,857.72
  6. Step 6: Final answer
    x = 103,769.39

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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.