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Finding the Fourth Proportional to 172,560.96, 258,491.52 and 89,280

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Solution

The fourth proportional to 172,560.96, 258,491.52 and 89,280 is: 133,738.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,560.96 : 258,491.52 = 89,280 : x
  2. Step 2: Convert to fraction form
    172,560.96/258,491.52 = 89,280/x
  3. Step 3: Cross multiply
    172,560.96x = 258,491.52 × 89,280
  4. Step 4: Simplify right side
    172,560.96x = 23,078,122,905.60
  5. Step 5: Solve for x
    x = 23,078,122,905.60/172,560.96
  6. Step 6: Final answer
    x = 133,738.96

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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.