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Finding the Fourth Proportional to 289,435.53, 434,195.34 and 89,772

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Solution

The fourth proportional to 289,435.53, 434,195.34 and 89,772 is: 134,671.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,435.53 : 434,195.34 = 89,772 : x
  2. Step 2: Convert to fraction form
    289,435.53/434,195.34 = 89,772/x
  3. Step 3: Cross multiply
    289,435.53x = 434,195.34 × 89,772
  4. Step 4: Simplify right side
    289,435.53x = 38,978,584,062.48
  5. Step 5: Solve for x
    x = 38,978,584,062.48/289,435.53
  6. Step 6: Final answer
    x = 134,671.04

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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.