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Finding the Fourth Proportional to 137,173.86, 205,785.36 and 48,478.86

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Solution

The fourth proportional to 137,173.86, 205,785.36 and 48,478.86 is: 72,726.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,173.86 : 205,785.36 = 48,478.86 : x
  2. Step 2: Convert to fraction form
    137,173.86/205,785.36 = 48,478.86/x
  3. Step 3: Cross multiply
    137,173.86x = 205,785.36 × 48,478.86
  4. Step 4: Simplify right side
    137,173.86x = 9,976,239,657.49
  5. Step 5: Solve for x
    x = 9,976,239,657.49/137,173.86
  6. Step 6: Final answer
    x = 72,726.97

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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.