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Finding the Fourth Proportional to 96,564, 144,755.28 and 87,906.72

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Solution

The fourth proportional to 96,564, 144,755.28 and 87,906.72 is: 131,777.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,564 : 144,755.28 = 87,906.72 : x
  2. Step 2: Convert to fraction form
    96,564/144,755.28 = 87,906.72/x
  3. Step 3: Cross multiply
    96,564x = 144,755.28 × 87,906.72
  4. Step 4: Simplify right side
    96,564x = 12,724,961,867.48
  5. Step 5: Solve for x
    x = 12,724,961,867.48/96,564
  6. Step 6: Final answer
    x = 131,777.49

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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.