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Finding the Fourth Proportional to 146,532.80, 219,799.20 and 137,784.80

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Solution

The fourth proportional to 146,532.80, 219,799.20 and 137,784.80 is: 206,677.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,532.80 : 219,799.20 = 137,784.80 : x
  2. Step 2: Convert to fraction form
    146,532.80/219,799.20 = 137,784.80/x
  3. Step 3: Cross multiply
    146,532.80x = 219,799.20 × 137,784.80
  4. Step 4: Simplify right side
    146,532.80x = 30,284,988,812.16
  5. Step 5: Solve for x
    x = 30,284,988,812.16/146,532.80
  6. Step 6: Final answer
    x = 206,677.20

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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.