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Finding the Fourth Proportional to 176,758, 243,885.62 and 100,258.84

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Solution

The fourth proportional to 176,758, 243,885.62 and 100,258.84 is: 138,334.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,758 : 243,885.62 = 100,258.84 : x
  2. Step 2: Convert to fraction form
    176,758/243,885.62 = 100,258.84/x
  3. Step 3: Cross multiply
    176,758x = 243,885.62 × 100,258.84
  4. Step 4: Simplify right side
    176,758x = 24,451,689,353.88
  5. Step 5: Solve for x
    x = 24,451,689,353.88/176,758
  6. Step 6: Final answer
    x = 138,334.27

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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.