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Finding the Fourth Proportional to 214,402.13, 321,603.20 and 89,743.13

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Solution

The fourth proportional to 214,402.13, 321,603.20 and 89,743.13 is: 134,614.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,402.13 : 321,603.20 = 89,743.13 : x
  2. Step 2: Convert to fraction form
    214,402.13/321,603.20 = 89,743.13/x
  3. Step 3: Cross multiply
    214,402.13x = 321,603.20 × 89,743.13
  4. Step 4: Simplify right side
    214,402.13x = 28,861,675,729.28
  5. Step 5: Solve for x
    x = 28,861,675,729.28/214,402.13
  6. Step 6: Final answer
    x = 134,614.69

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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.