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Finding the Fourth Proportional to 137,105.21, 205,688.57 and 48,359.45

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Solution

The fourth proportional to 137,105.21, 205,688.57 and 48,359.45 is: 72,550.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,105.21 : 205,688.57 = 48,359.45 : x
  2. Step 2: Convert to fraction form
    137,105.21/205,688.57 = 48,359.45/x
  3. Step 3: Cross multiply
    137,105.21x = 205,688.57 × 48,359.45
  4. Step 4: Simplify right side
    137,105.21x = 9,946,986,388.91
  5. Step 5: Solve for x
    x = 9,946,986,388.91/137,105.21
  6. Step 6: Final answer
    x = 72,550.02

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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.