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Finding the Fourth Proportional to 137,240.35, 205,880.20 and 42,478.86

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Solution

The fourth proportional to 137,240.35, 205,880.20 and 42,478.86 is: 63,724.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,240.35 : 205,880.20 = 42,478.86 : x
  2. Step 2: Convert to fraction form
    137,240.35/205,880.20 = 42,478.86/x
  3. Step 3: Cross multiply
    137,240.35x = 205,880.20 × 42,478.86
  4. Step 4: Simplify right side
    137,240.35x = 8,745,555,300.52
  5. Step 5: Solve for x
    x = 8,745,555,300.52/137,240.35
  6. Step 6: Final answer
    x = 63,724.37

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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.