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Finding the Fourth Proportional to 137,809.30, 190,165.16 and 77,375.20

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Solution

The fourth proportional to 137,809.30, 190,165.16 and 77,375.20 is: 106,771.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,809.30 : 190,165.16 = 77,375.20 : x
  2. Step 2: Convert to fraction form
    137,809.30/190,165.16 = 77,375.20/x
  3. Step 3: Cross multiply
    137,809.30x = 190,165.16 × 77,375.20
  4. Step 4: Simplify right side
    137,809.30x = 14,714,067,288.03
  5. Step 5: Solve for x
    x = 14,714,067,288.03/137,809.30
  6. Step 6: Final answer
    x = 106,771.22

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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.