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Finding the Fourth Proportional to 158,892.30, 219,270.87 and 87,276.78

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Solution

The fourth proportional to 158,892.30, 219,270.87 and 87,276.78 is: 120,441.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,892.30 : 219,270.87 = 87,276.78 : x
  2. Step 2: Convert to fraction form
    158,892.30/219,270.87 = 87,276.78/x
  3. Step 3: Cross multiply
    158,892.30x = 219,270.87 × 87,276.78
  4. Step 4: Simplify right side
    158,892.30x = 19,137,255,481.40
  5. Step 5: Solve for x
    x = 19,137,255,481.40/158,892.30
  6. Step 6: Final answer
    x = 120,441.68

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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.