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Finding the Fourth Proportional to 221,461, 305,616.48 and 120,859

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Solution

The fourth proportional to 221,461, 305,616.48 and 120,859 is: 166,785.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,461 : 305,616.48 = 120,859 : x
  2. Step 2: Convert to fraction form
    221,461/305,616.48 = 120,859/x
  3. Step 3: Cross multiply
    221,461x = 305,616.48 × 120,859
  4. Step 4: Simplify right side
    221,461x = 36,936,502,156.32
  5. Step 5: Solve for x
    x = 36,936,502,156.32/221,461
  6. Step 6: Final answer
    x = 166,785.58

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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.