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Finding the Fourth Proportional to 221,458, 305,612.04 and 120,856

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Solution

The fourth proportional to 221,458, 305,612.04 and 120,856 is: 166,781.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,458 : 305,612.04 = 120,856 : x
  2. Step 2: Convert to fraction form
    221,458/305,612.04 = 120,856/x
  3. Step 3: Cross multiply
    221,458x = 305,612.04 × 120,856
  4. Step 4: Simplify right side
    221,458x = 36,935,048,706.24
  5. Step 5: Solve for x
    x = 36,935,048,706.24/221,458
  6. Step 6: Final answer
    x = 166,781.28

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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.