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Finding the Fourth Proportional to 154,735.56, 232,115.70 and 65,989.86

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Solution

The fourth proportional to 154,735.56, 232,115.70 and 65,989.86 is: 98,990.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,735.56 : 232,115.70 = 65,989.86 : x
  2. Step 2: Convert to fraction form
    154,735.56/232,115.70 = 65,989.86/x
  3. Step 3: Cross multiply
    154,735.56x = 232,115.70 × 65,989.86
  4. Step 4: Simplify right side
    154,735.56x = 15,317,282,546.80
  5. Step 5: Solve for x
    x = 15,317,282,546.80/154,735.56
  6. Step 6: Final answer
    x = 98,990.06

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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.