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Finding the Fourth Proportional to 137,992.67, 190,435.28 and 77,563.13

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Solution

The fourth proportional to 137,992.67, 190,435.28 and 77,563.13 is: 107,040.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,992.67 : 190,435.28 = 77,563.13 : x
  2. Step 2: Convert to fraction form
    137,992.67/190,435.28 = 77,563.13/x
  3. Step 3: Cross multiply
    137,992.67x = 190,435.28 × 77,563.13
  4. Step 4: Simplify right side
    137,992.67x = 14,770,755,039.23
  5. Step 5: Solve for x
    x = 14,770,755,039.23/137,992.67
  6. Step 6: Final answer
    x = 107,040.15

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.