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Finding the Fourth Proportional to 158,155.85, 236,971.32 and 111,310.31

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Solution

The fourth proportional to 158,155.85, 236,971.32 and 111,310.31 is: 166,780.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,155.85 : 236,971.32 = 111,310.31 : x
  2. Step 2: Convert to fraction form
    158,155.85/236,971.32 = 111,310.31/x
  3. Step 3: Cross multiply
    158,155.85x = 236,971.32 × 111,310.31
  4. Step 4: Simplify right side
    158,155.85x = 26,377,349,905.45
  5. Step 5: Solve for x
    x = 26,377,349,905.45/158,155.85
  6. Step 6: Final answer
    x = 166,780.75

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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.