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Finding the Fourth Proportional to 138,410.45, 190,992.76 and 77,991.84

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Solution

The fourth proportional to 138,410.45, 190,992.76 and 77,991.84 is: 107,621.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,410.45 : 190,992.76 = 77,991.84 : x
  2. Step 2: Convert to fraction form
    138,410.45/190,992.76 = 77,991.84/x
  3. Step 3: Cross multiply
    138,410.45x = 190,992.76 × 77,991.84
  4. Step 4: Simplify right side
    138,410.45x = 14,895,876,266.28
  5. Step 5: Solve for x
    x = 14,895,876,266.28/138,410.45
  6. Step 6: Final answer
    x = 107,621.04

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1.5x scale

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.