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Finding the Fourth Proportional to 137,952.45, 190,379.39 and 77,524.29

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Solution

The fourth proportional to 137,952.45, 190,379.39 and 77,524.29 is: 106,986.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,952.45 : 190,379.39 = 77,524.29 : x
  2. Step 2: Convert to fraction form
    137,952.45/190,379.39 = 77,524.29/x
  3. Step 3: Cross multiply
    137,952.45x = 190,379.39 × 77,524.29
  4. Step 4: Simplify right side
    137,952.45x = 14,759,027,040.38
  5. Step 5: Solve for x
    x = 14,759,027,040.38/137,952.45
  6. Step 6: Final answer
    x = 106,986.34

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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.