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Finding the Fourth Proportional to 139,761.90, 192,867.21 and 77,672.19

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Solution

The fourth proportional to 139,761.90, 192,867.21 and 77,672.19 is: 107,185.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,761.90 : 192,867.21 = 77,672.19 : x
  2. Step 2: Convert to fraction form
    139,761.90/192,867.21 = 77,672.19/x
  3. Step 3: Cross multiply
    139,761.90x = 192,867.21 × 77,672.19
  4. Step 4: Simplify right side
    139,761.90x = 14,980,418,579.89
  5. Step 5: Solve for x
    x = 14,980,418,579.89/139,761.90
  6. Step 6: Final answer
    x = 107,185.28

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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.