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Finding the Fourth Proportional to 102,242.76, 140,974.32 and 69,992.88

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Solution

The fourth proportional to 102,242.76, 140,974.32 and 69,992.88 is: 96,507.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,242.76 : 140,974.32 = 69,992.88 : x
  2. Step 2: Convert to fraction form
    102,242.76/140,974.32 = 69,992.88/x
  3. Step 3: Cross multiply
    102,242.76x = 140,974.32 × 69,992.88
  4. Step 4: Simplify right side
    102,242.76x = 9,867,198,662.84
  5. Step 5: Solve for x
    x = 9,867,198,662.84/102,242.76
  6. Step 6: Final answer
    x = 96,507.55

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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.