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Finding the Fourth Proportional to 115,199, 158,982.78 and 64,898

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Solution

The fourth proportional to 115,199, 158,982.78 and 64,898 is: 89,563.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,199 : 158,982.78 = 64,898 : x
  2. Step 2: Convert to fraction form
    115,199/158,982.78 = 64,898/x
  3. Step 3: Cross multiply
    115,199x = 158,982.78 × 64,898
  4. Step 4: Simplify right side
    115,199x = 10,317,664,456.44
  5. Step 5: Solve for x
    x = 10,317,664,456.44/115,199
  6. Step 6: Final answer
    x = 89,563.84

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.