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Finding the Fourth Proportional to 203,408.71, 280,720.60 and 112,793.10

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Solution

The fourth proportional to 203,408.71, 280,720.60 and 112,793.10 is: 155,663.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,408.71 : 280,720.60 = 112,793.10 : x
  2. Step 2: Convert to fraction form
    203,408.71/280,720.60 = 112,793.10/x
  3. Step 3: Cross multiply
    203,408.71x = 280,720.60 × 112,793.10
  4. Step 4: Simplify right side
    203,408.71x = 31,663,346,707.86
  5. Step 5: Solve for x
    x = 31,663,346,707.86/203,408.71
  6. Step 6: Final answer
    x = 155,663.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.