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Finding the Fourth Proportional to 137,578.46, 206,303.28 and 48,830

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Solution

The fourth proportional to 137,578.46, 206,303.28 and 48,830 is: 73,222.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,578.46 : 206,303.28 = 48,830 : x
  2. Step 2: Convert to fraction form
    137,578.46/206,303.28 = 48,830/x
  3. Step 3: Cross multiply
    137,578.46x = 206,303.28 × 48,830
  4. Step 4: Simplify right side
    137,578.46x = 10,073,789,162.40
  5. Step 5: Solve for x
    x = 10,073,789,162.40/137,578.46
  6. Step 6: Final answer
    x = 73,222.14

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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.