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Finding the Fourth Proportional to 214,404.13, 321,606.20 and 89,745.13

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Solution

The fourth proportional to 214,404.13, 321,606.20 and 89,745.13 is: 134,617.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,404.13 : 321,606.20 = 89,745.13 : x
  2. Step 2: Convert to fraction form
    214,404.13/321,606.20 = 89,745.13/x
  3. Step 3: Cross multiply
    214,404.13x = 321,606.20 × 89,745.13
  4. Step 4: Simplify right side
    214,404.13x = 28,862,590,227.81
  5. Step 5: Solve for x
    x = 28,862,590,227.81/214,404.13
  6. Step 6: Final answer
    x = 134,617.70

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1.5x scale

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.