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Finding the Fourth Proportional to 289,103.87, 433,637.33 and 89,407.53

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Solution

The fourth proportional to 289,103.87, 433,637.33 and 89,407.53 is: 134,105.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,103.87 : 433,637.33 = 89,407.53 : x
  2. Step 2: Convert to fraction form
    289,103.87/433,637.33 = 89,407.53/x
  3. Step 3: Cross multiply
    289,103.87x = 433,637.33 × 89,407.53
  4. Step 4: Simplify right side
    289,103.87x = 38,770,442,591.09
  5. Step 5: Solve for x
    x = 38,770,442,591.09/289,103.87
  6. Step 6: Final answer
    x = 134,105.58

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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.