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Finding the Fourth Proportional to 106,039.89, 158,713.67 and 77,952.51

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Solution

The fourth proportional to 106,039.89, 158,713.67 and 77,952.51 is: 116,674.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,039.89 : 158,713.67 = 77,952.51 : x
  2. Step 2: Convert to fraction form
    106,039.89/158,713.67 = 77,952.51/x
  3. Step 3: Cross multiply
    106,039.89x = 158,713.67 × 77,952.51
  4. Step 4: Simplify right side
    106,039.89x = 12,372,128,558.05
  5. Step 5: Solve for x
    x = 12,372,128,558.05/106,039.89
  6. Step 6: Final answer
    x = 116,674.29

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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.