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Finding the Fourth Proportional to 154,415.20, 231,709.20 and 65,653.60

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Solution

The fourth proportional to 154,415.20, 231,709.20 and 65,653.60 is: 98,517.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,415.20 : 231,709.20 = 65,653.60 : x
  2. Step 2: Convert to fraction form
    154,415.20/231,709.20 = 65,653.60/x
  3. Step 3: Cross multiply
    154,415.20x = 231,709.20 × 65,653.60
  4. Step 4: Simplify right side
    154,415.20x = 15,212,543,133.12
  5. Step 5: Solve for x
    x = 15,212,543,133.12/154,415.20
  6. Step 6: Final answer
    x = 98,517.14

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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.