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Finding the Fourth Proportional to 138,412.44, 190,995.52 and 77,993.84

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Solution

The fourth proportional to 138,412.44, 190,995.52 and 77,993.84 is: 107,623.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,412.44 : 190,995.52 = 77,993.84 : x
  2. Step 2: Convert to fraction form
    138,412.44/190,995.52 = 77,993.84/x
  3. Step 3: Cross multiply
    138,412.44x = 190,995.52 × 77,993.84
  4. Step 4: Simplify right side
    138,412.44x = 14,896,474,027.60
  5. Step 5: Solve for x
    x = 14,896,474,027.60/138,412.44
  6. Step 6: Final answer
    x = 107,623.81

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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.