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Finding the Fourth Proportional to 220,192.80, 303,992.16 and 144,960

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Solution

The fourth proportional to 220,192.80, 303,992.16 and 144,960 is: 200,127.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,192.80 : 303,992.16 = 144,960 : x
  2. Step 2: Convert to fraction form
    220,192.80/303,992.16 = 144,960/x
  3. Step 3: Cross multiply
    220,192.80x = 303,992.16 × 144,960
  4. Step 4: Simplify right side
    220,192.80x = 44,066,703,513.60
  5. Step 5: Solve for x
    x = 44,066,703,513.60/220,192.80
  6. Step 6: Final answer
    x = 200,127.81

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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.