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Finding the Fourth Proportional to 214,433.40, 321,650.10 and 89,761.40

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Solution

The fourth proportional to 214,433.40, 321,650.10 and 89,761.40 is: 134,642.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,433.40 : 321,650.10 = 89,761.40 : x
  2. Step 2: Convert to fraction form
    214,433.40/321,650.10 = 89,761.40/x
  3. Step 3: Cross multiply
    214,433.40x = 321,650.10 × 89,761.40
  4. Step 4: Simplify right side
    214,433.40x = 28,871,763,286.14
  5. Step 5: Solve for x
    x = 28,871,763,286.14/214,433.40
  6. Step 6: Final answer
    x = 134,642.10

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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.