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Finding the Fourth Proportional to 215,430.85, 323,293.95 and 75,189.49

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Solution

The fourth proportional to 215,430.85, 323,293.95 and 75,189.49 is: 112,835.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,430.85 : 323,293.95 = 75,189.49 : x
  2. Step 2: Convert to fraction form
    215,430.85/323,293.95 = 75,189.49/x
  3. Step 3: Cross multiply
    215,430.85x = 323,293.95 × 75,189.49
  4. Step 4: Simplify right side
    215,430.85x = 24,308,307,220.59
  5. Step 5: Solve for x
    x = 24,308,307,220.59/215,430.85
  6. Step 6: Final answer
    x = 112,835.78

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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.