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Finding the Fourth Proportional to 138,245.25, 190,763.67 and 77,814.87

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Solution

The fourth proportional to 138,245.25, 190,763.67 and 77,814.87 is: 107,376.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,245.25 : 190,763.67 = 77,814.87 : x
  2. Step 2: Convert to fraction form
    138,245.25/190,763.67 = 77,814.87/x
  3. Step 3: Cross multiply
    138,245.25x = 190,763.67 × 77,814.87
  4. Step 4: Simplify right side
    138,245.25x = 14,844,250,181.77
  5. Step 5: Solve for x
    x = 14,844,250,181.77/138,245.25
  6. Step 6: Final answer
    x = 107,376.20

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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.