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Finding the Fourth Proportional to 218,178.32, 326,742.60 and 124,399.76

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Solution

The fourth proportional to 218,178.32, 326,742.60 and 124,399.76 is: 186,300.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,178.32 : 326,742.60 = 124,399.76 : x
  2. Step 2: Convert to fraction form
    218,178.32/326,742.60 = 124,399.76/x
  3. Step 3: Cross multiply
    218,178.32x = 326,742.60 × 124,399.76
  4. Step 4: Simplify right side
    218,178.32x = 40,646,701,021.78
  5. Step 5: Solve for x
    x = 40,646,701,021.78/218,178.32
  6. Step 6: Final answer
    x = 186,300.37

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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.