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Finding the Fourth Proportional to 144,015.77, 198,777.34 and 87,474.53

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Solution

The fourth proportional to 144,015.77, 198,777.34 and 87,474.53 is: 120,736.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,015.77 : 198,777.34 = 87,474.53 : x
  2. Step 2: Convert to fraction form
    144,015.77/198,777.34 = 87,474.53/x
  3. Step 3: Cross multiply
    144,015.77x = 198,777.34 × 87,474.53
  4. Step 4: Simplify right side
    144,015.77x = 17,387,954,997.44
  5. Step 5: Solve for x
    x = 17,387,954,997.44/144,015.77
  6. Step 6: Final answer
    x = 120,736.46

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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.