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Finding the Fourth Proportional to 289,793.30, 434,743.40 and 90,100.76

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Solution

The fourth proportional to 289,793.30, 434,743.40 and 90,100.76 is: 135,167.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,793.30 : 434,743.40 = 90,100.76 : x
  2. Step 2: Convert to fraction form
    289,793.30/434,743.40 = 90,100.76/x
  3. Step 3: Cross multiply
    289,793.30x = 434,743.40 × 90,100.76
  4. Step 4: Simplify right side
    289,793.30x = 39,170,708,796.52
  5. Step 5: Solve for x
    x = 39,170,708,796.52/289,793.30
  6. Step 6: Final answer
    x = 135,167.75

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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.