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Finding the Fourth Proportional to 221,116, 305,139.80 and 120,514

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Solution

The fourth proportional to 221,116, 305,139.80 and 120,514 is: 166,309.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,116 : 305,139.80 = 120,514 : x
  2. Step 2: Convert to fraction form
    221,116/305,139.80 = 120,514/x
  3. Step 3: Cross multiply
    221,116x = 305,139.80 × 120,514
  4. Step 4: Simplify right side
    221,116x = 36,773,617,857.20
  5. Step 5: Solve for x
    x = 36,773,617,857.20/221,116
  6. Step 6: Final answer
    x = 166,309.17

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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.