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Finding the Fourth Proportional to 218,632.52, 327,994.86 and 70,877

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Solution

The fourth proportional to 218,632.52, 327,994.86 and 70,877 is: 106,330.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,632.52 : 327,994.86 = 70,877 : x
  2. Step 2: Convert to fraction form
    218,632.52/327,994.86 = 70,877/x
  3. Step 3: Cross multiply
    218,632.52x = 327,994.86 × 70,877
  4. Step 4: Simplify right side
    218,632.52x = 23,247,291,692.22
  5. Step 5: Solve for x
    x = 23,247,291,692.22/218,632.52
  6. Step 6: Final answer
    x = 106,330.44

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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.