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Finding the Fourth Proportional to 220,680, 304,543.26 and 120,078

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Solution

The fourth proportional to 220,680, 304,543.26 and 120,078 is: 165,710.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,680 : 304,543.26 = 120,078 : x
  2. Step 2: Convert to fraction form
    220,680/304,543.26 = 120,078/x
  3. Step 3: Cross multiply
    220,680x = 304,543.26 × 120,078
  4. Step 4: Simplify right side
    220,680x = 36,568,945,574.28
  5. Step 5: Solve for x
    x = 36,568,945,574.28/220,680
  6. Step 6: Final answer
    x = 165,710.28

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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.