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Finding the Fourth Proportional to 137,236.47, 205,879.76 and 42,460.22

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Solution

The fourth proportional to 137,236.47, 205,879.76 and 42,460.22 is: 63,698.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,236.47 : 205,879.76 = 42,460.22 : x
  2. Step 2: Convert to fraction form
    137,236.47/205,879.76 = 42,460.22/x
  3. Step 3: Cross multiply
    137,236.47x = 205,879.76 × 42,460.22
  4. Step 4: Simplify right side
    137,236.47x = 8,741,698,661.45
  5. Step 5: Solve for x
    x = 8,741,698,661.45/137,236.47
  6. Step 6: Final answer
    x = 63,698.07

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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.