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Finding the Fourth Proportional to 218,719.76, 328,079.58 and 52,507.76

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Solution

The fourth proportional to 218,719.76, 328,079.58 and 52,507.76 is: 78,761.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,719.76 : 328,079.58 = 52,507.76 : x
  2. Step 2: Convert to fraction form
    218,719.76/328,079.58 = 52,507.76/x
  3. Step 3: Cross multiply
    218,719.76x = 328,079.58 × 52,507.76
  4. Step 4: Simplify right side
    218,719.76x = 17,226,723,847.54
  5. Step 5: Solve for x
    x = 17,226,723,847.54/218,719.76
  6. Step 6: Final answer
    x = 78,761.63

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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.