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Finding the Fourth Proportional to 138,165.70, 190,666.46 and 77,736.31

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Solution

The fourth proportional to 138,165.70, 190,666.46 and 77,736.31 is: 107,274.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,165.70 : 190,666.46 = 77,736.31 : x
  2. Step 2: Convert to fraction form
    138,165.70/190,666.46 = 77,736.31/x
  3. Step 3: Cross multiply
    138,165.70x = 190,666.46 × 77,736.31
  4. Step 4: Simplify right side
    138,165.70x = 14,821,706,321.57
  5. Step 5: Solve for x
    x = 14,821,706,321.57/138,165.70
  6. Step 6: Final answer
    x = 107,274.86

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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.