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Finding the Fourth Proportional to 137,529.80, 206,246.10 and 48,786.20

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Solution

The fourth proportional to 137,529.80, 206,246.10 and 48,786.20 is: 73,162.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,529.80 : 206,246.10 = 48,786.20 : x
  2. Step 2: Convert to fraction form
    137,529.80/206,246.10 = 48,786.20/x
  3. Step 3: Cross multiply
    137,529.80x = 206,246.10 × 48,786.20
  4. Step 4: Simplify right side
    137,529.80x = 10,061,963,483.82
  5. Step 5: Solve for x
    x = 10,061,963,483.82/137,529.80
  6. Step 6: Final answer
    x = 73,162.06

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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.