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Finding the Fourth Proportional to 137,340.75, 206,012.41 and 48,609.30

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Solution

The fourth proportional to 137,340.75, 206,012.41 and 48,609.30 is: 72,914.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,340.75 : 206,012.41 = 48,609.30 : x
  2. Step 2: Convert to fraction form
    137,340.75/206,012.41 = 48,609.30/x
  3. Step 3: Cross multiply
    137,340.75x = 206,012.41 × 48,609.30
  4. Step 4: Simplify right side
    137,340.75x = 10,014,119,041.41
  5. Step 5: Solve for x
    x = 10,014,119,041.41/137,340.75
  6. Step 6: Final answer
    x = 72,914.40

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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.