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Finding the Fourth Proportional to 154,446.50, 213,134.73 and 87,378.50

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Solution

The fourth proportional to 154,446.50, 213,134.73 and 87,378.50 is: 120,581.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,446.50 : 213,134.73 = 87,378.50 : x
  2. Step 2: Convert to fraction form
    154,446.50/213,134.73 = 87,378.50/x
  3. Step 3: Cross multiply
    154,446.50x = 213,134.73 × 87,378.50
  4. Step 4: Simplify right side
    154,446.50x = 18,623,393,005.31
  5. Step 5: Solve for x
    x = 18,623,393,005.31/154,446.50
  6. Step 6: Final answer
    x = 120,581.52

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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.