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Finding the Fourth Proportional to 146,935.20, 220,489.20 and 53,428.80

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Solution

The fourth proportional to 146,935.20, 220,489.20 and 53,428.80 is: 80,174.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,935.20 : 220,489.20 = 53,428.80 : x
  2. Step 2: Convert to fraction form
    146,935.20/220,489.20 = 53,428.80/x
  3. Step 3: Cross multiply
    146,935.20x = 220,489.20 × 53,428.80
  4. Step 4: Simplify right side
    146,935.20x = 11,780,473,368.96
  5. Step 5: Solve for x
    x = 11,780,473,368.96/146,935.20
  6. Step 6: Final answer
    x = 80,174.62

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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.