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Finding the Fourth Proportional to 218,018.56, 326,958.72 and 70,240

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Solution

The fourth proportional to 218,018.56, 326,958.72 and 70,240 is: 105,337.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,018.56 : 326,958.72 = 70,240 : x
  2. Step 2: Convert to fraction form
    218,018.56/326,958.72 = 70,240/x
  3. Step 3: Cross multiply
    218,018.56x = 326,958.72 × 70,240
  4. Step 4: Simplify right side
    218,018.56x = 22,965,580,492.80
  5. Step 5: Solve for x
    x = 22,965,580,492.80/218,018.56
  6. Step 6: Final answer
    x = 105,337.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.