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Finding the Fourth Proportional to 146,540.10, 219,810.15 and 137,792.10

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Solution

The fourth proportional to 146,540.10, 219,810.15 and 137,792.10 is: 206,688.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,540.10 : 219,810.15 = 137,792.10 : x
  2. Step 2: Convert to fraction form
    146,540.10/219,810.15 = 137,792.10/x
  3. Step 3: Cross multiply
    146,540.10x = 219,810.15 × 137,792.10
  4. Step 4: Simplify right side
    146,540.10x = 30,288,102,169.82
  5. Step 5: Solve for x
    x = 30,288,102,169.82/146,540.10
  6. Step 6: Final answer
    x = 206,688.15

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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.